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Finding the Third Proportional to 165,594,895,439 and 360,203,730,142

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Solution

The third proportional to 165,594,895,439 and 360,203,730,142 is: 783,518,881,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,594,895,439 : 360,203,730,142 = 360,203,730,142 : x
  2. Step 2: Convert to fraction form
    165,594,895,439/360,203,730,142 = 360,203,730,142/x
  3. Step 3: Cross multiply
    165,594,895,439x = 360,203,730,142 × 360,203,730,142
  4. Step 4: Simplify right side
    165,594,895,439x = 129,746,727,208,210,757,844,992
  5. Step 5: Solve for x
    x = 129,746,727,208,210,757,844,992/165,594,895,439
  6. Step 6: Final answer
    x = 783,518,881,208.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.