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Finding the Third Proportional to 129,232,968 and 193,944,060

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Solution

The third proportional to 129,232,968 and 193,944,060 is: 291,058,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,232,968 : 193,944,060 = 193,944,060 : x
  2. Step 2: Convert to fraction form
    129,232,968/193,944,060 = 193,944,060/x
  3. Step 3: Cross multiply
    129,232,968x = 193,944,060 × 193,944,060
  4. Step 4: Simplify right side
    129,232,968x = 37,614,298,409,283,600
  5. Step 5: Solve for x
    x = 37,614,298,409,283,600/129,232,968
  6. Step 6: Final answer
    x = 291,058,071.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.