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Finding the Third Proportional to 119,962,426,879.50 and 249,854,073,304.50

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Solution

The third proportional to 119,962,426,879.50 and 249,854,073,304.50 is: 520,388,421,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,962,426,879.50 : 249,854,073,304.50 = 249,854,073,304.50 : x
  2. Step 2: Convert to fraction form
    119,962,426,879.50/249,854,073,304.50 = 249,854,073,304.50/x
  3. Step 3: Cross multiply
    119,962,426,879.50x = 249,854,073,304.50 × 249,854,073,304.50
  4. Step 4: Simplify right side
    119,962,426,879.50x = 62,427,057,946,850,458,861,568
  5. Step 5: Solve for x
    x = 62,427,057,946,850,458,861,568/119,962,426,879.50
  6. Step 6: Final answer
    x = 520,388,421,364.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.