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Finding the Third Proportional to 249,807,981.66 and 541,317,451.50

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Solution

The third proportional to 249,807,981.66 and 541,317,451.50 is: 1,172,999,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,807,981.66 : 541,317,451.50 = 541,317,451.50 : x
  2. Step 2: Convert to fraction form
    249,807,981.66/541,317,451.50 = 541,317,451.50/x
  3. Step 3: Cross multiply
    249,807,981.66x = 541,317,451.50 × 541,317,451.50
  4. Step 4: Simplify right side
    249,807,981.66x = 293,024,583,298,454,848
  5. Step 5: Solve for x
    x = 293,024,583,298,454,848/249,807,981.66
  6. Step 6: Final answer
    x = 1,172,999,282.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.