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Finding the Third Proportional to 253,141,902 and 380,386,800

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Solution

The third proportional to 253,141,902 and 380,386,800 is: 571,592,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,141,902 : 380,386,800 = 380,386,800 : x
  2. Step 2: Convert to fraction form
    253,141,902/380,386,800 = 380,386,800/x
  3. Step 3: Cross multiply
    253,141,902x = 380,386,800 × 380,386,800
  4. Step 4: Simplify right side
    253,141,902x = 144,694,117,614,240,000
  5. Step 5: Solve for x
    x = 144,694,117,614,240,000/253,141,902
  6. Step 6: Final answer
    x = 571,592,914.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.