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Finding the Third Proportional to 129,232,970 and 193,944,063

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Solution

The third proportional to 129,232,970 and 193,944,063 is: 291,058,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,232,970 : 193,944,063 = 193,944,063 : x
  2. Step 2: Convert to fraction form
    129,232,970/193,944,063 = 193,944,063/x
  3. Step 3: Cross multiply
    129,232,970x = 193,944,063 × 193,944,063
  4. Step 4: Simplify right side
    129,232,970x = 37,614,299,572,947,968
  5. Step 5: Solve for x
    x = 37,614,299,572,947,968/129,232,970
  6. Step 6: Final answer
    x = 291,058,075.76

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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.