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Finding the Third Proportional to 72,746,898 and 157,602,096

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Solution

The third proportional to 72,746,898 and 157,602,096 is: 341,436,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,746,898 : 157,602,096 = 157,602,096 : x
  2. Step 2: Convert to fraction form
    72,746,898/157,602,096 = 157,602,096/x
  3. Step 3: Cross multiply
    72,746,898x = 157,602,096 × 157,602,096
  4. Step 4: Simplify right side
    72,746,898x = 24,838,420,663,593,216
  5. Step 5: Solve for x
    x = 24,838,420,663,593,216/72,746,898
  6. Step 6: Final answer
    x = 341,436,148.43

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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.