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Finding the Third Proportional to 157,426,113 and 246,932,743.50

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Solution

The third proportional to 157,426,113 and 246,932,743.50 is: 387,329,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,426,113 : 246,932,743.50 = 246,932,743.50 : x
  2. Step 2: Convert to fraction form
    157,426,113/246,932,743.50 = 246,932,743.50/x
  3. Step 3: Cross multiply
    157,426,113x = 246,932,743.50 × 246,932,743.50
  4. Step 4: Simplify right side
    157,426,113x = 60,975,779,812,436,792
  5. Step 5: Solve for x
    x = 60,975,779,812,436,792/157,426,113
  6. Step 6: Final answer
    x = 387,329,513.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.