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Finding the Third Proportional to 60,005,668.50 and 130,914,127.50

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Solution

The third proportional to 60,005,668.50 and 130,914,127.50 is: 285,614,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,005,668.50 : 130,914,127.50 = 130,914,127.50 : x
  2. Step 2: Convert to fraction form
    60,005,668.50/130,914,127.50 = 130,914,127.50/x
  3. Step 3: Cross multiply
    60,005,668.50x = 130,914,127.50 × 130,914,127.50
  4. Step 4: Simplify right side
    60,005,668.50x = 17,138,508,779,086,256
  5. Step 5: Solve for x
    x = 17,138,508,779,086,256/60,005,668.50
  6. Step 6: Final answer
    x = 285,614,829.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.