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Finding the Third Proportional to 157,459,483 and 221,641,026

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Solution

The third proportional to 157,459,483 and 221,641,026 is: 311,983,397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,459,483 : 221,641,026 = 221,641,026 : x
  2. Step 2: Convert to fraction form
    157,459,483/221,641,026 = 221,641,026/x
  3. Step 3: Cross multiply
    157,459,483x = 221,641,026 × 221,641,026
  4. Step 4: Simplify right side
    157,459,483x = 49,124,744,406,332,672
  5. Step 5: Solve for x
    x = 49,124,744,406,332,672/157,459,483
  6. Step 6: Final answer
    x = 311,983,397.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.