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Finding the Third Proportional to 113,183,297 and 242,501,742

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Solution

The third proportional to 113,183,297 and 242,501,742 is: 519,573,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,183,297 : 242,501,742 = 242,501,742 : x
  2. Step 2: Convert to fraction form
    113,183,297/242,501,742 = 242,501,742/x
  3. Step 3: Cross multiply
    113,183,297x = 242,501,742 × 242,501,742
  4. Step 4: Simplify right side
    113,183,297x = 58,807,094,873,034,560
  5. Step 5: Solve for x
    x = 58,807,094,873,034,560/113,183,297
  6. Step 6: Final answer
    x = 519,573,969.23

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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.