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Finding the Third Proportional to 113,183,284 and 242,501,714

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Solution

The third proportional to 113,183,284 and 242,501,714 is: 519,573,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,183,284 : 242,501,714 = 242,501,714 : x
  2. Step 2: Convert to fraction form
    113,183,284/242,501,714 = 242,501,714/x
  3. Step 3: Cross multiply
    113,183,284x = 242,501,714 × 242,501,714
  4. Step 4: Simplify right side
    113,183,284x = 58,807,081,292,937,792
  5. Step 5: Solve for x
    x = 58,807,081,292,937,792/113,183,284
  6. Step 6: Final answer
    x = 519,573,908.93

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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.