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Finding the Third Proportional to 74,728,875 and 161,739,901.50

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Solution

The third proportional to 74,728,875 and 161,739,901.50 is: 350,062,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,728,875 : 161,739,901.50 = 161,739,901.50 : x
  2. Step 2: Convert to fraction form
    74,728,875/161,739,901.50 = 161,739,901.50/x
  3. Step 3: Cross multiply
    74,728,875x = 161,739,901.50 × 161,739,901.50
  4. Step 4: Simplify right side
    74,728,875x = 26,159,795,737,229,704
  5. Step 5: Solve for x
    x = 26,159,795,737,229,704/74,728,875
  6. Step 6: Final answer
    x = 350,062,753.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.