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Finding the Third Proportional to 113,183,748 and 242,502,624

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Solution

The third proportional to 113,183,748 and 242,502,624 is: 519,575,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,183,748 : 242,502,624 = 242,502,624 : x
  2. Step 2: Convert to fraction form
    113,183,748/242,502,624 = 242,502,624/x
  3. Step 3: Cross multiply
    113,183,748x = 242,502,624 × 242,502,624
  4. Step 4: Simplify right side
    113,183,748x = 58,807,522,646,885,376
  5. Step 5: Solve for x
    x = 58,807,522,646,885,376/113,183,748
  6. Step 6: Final answer
    x = 519,575,678.36

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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.