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Finding the Third Proportional to 113,183,788 and 242,502,712

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Solution

The third proportional to 113,183,788 and 242,502,712 is: 519,575,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,183,788 : 242,502,712 = 242,502,712 : x
  2. Step 2: Convert to fraction form
    113,183,788/242,502,712 = 242,502,712/x
  3. Step 3: Cross multiply
    113,183,788x = 242,502,712 × 242,502,712
  4. Step 4: Simplify right side
    113,183,788x = 58,807,565,327,354,944
  5. Step 5: Solve for x
    x = 58,807,565,327,354,944/113,183,788
  6. Step 6: Final answer
    x = 519,575,871.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.