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Finding the Third Proportional to 132,429,235.50 and 309,316,027.50

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Solution

The third proportional to 132,429,235.50 and 309,316,027.50 is: 722,471,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,429,235.50 : 309,316,027.50 = 309,316,027.50 : x
  2. Step 2: Convert to fraction form
    132,429,235.50/309,316,027.50 = 309,316,027.50/x
  3. Step 3: Cross multiply
    132,429,235.50x = 309,316,027.50 × 309,316,027.50
  4. Step 4: Simplify right side
    132,429,235.50x = 95,676,404,868,380,752
  5. Step 5: Solve for x
    x = 95,676,404,868,380,752/132,429,235.50
  6. Step 6: Final answer
    x = 722,471,926.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.