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Finding the Third Proportional to 161,232,499 and 243,185,008

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Solution

The third proportional to 161,232,499 and 243,185,008 is: 366,792,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,232,499 : 243,185,008 = 243,185,008 : x
  2. Step 2: Convert to fraction form
    161,232,499/243,185,008 = 243,185,008/x
  3. Step 3: Cross multiply
    161,232,499x = 243,185,008 × 243,185,008
  4. Step 4: Simplify right side
    161,232,499x = 59,138,948,115,960,064
  5. Step 5: Solve for x
    x = 59,138,948,115,960,064/161,232,499
  6. Step 6: Final answer
    x = 366,792,975.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.