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Finding the Third Proportional to 113,183,301 and 242,501,748

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Solution

The third proportional to 113,183,301 and 242,501,748 is: 519,573,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,183,301 : 242,501,748 = 242,501,748 : x
  2. Step 2: Convert to fraction form
    113,183,301/242,501,748 = 242,501,748/x
  3. Step 3: Cross multiply
    113,183,301x = 242,501,748 × 242,501,748
  4. Step 4: Simplify right side
    113,183,301x = 58,807,097,783,055,504
  5. Step 5: Solve for x
    x = 58,807,097,783,055,504/113,183,301
  6. Step 6: Final answer
    x = 519,573,976.58

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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.