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Finding the Third Proportional to 115,489,342.50 and 240,531,683.50

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Solution

The third proportional to 115,489,342.50 and 240,531,683.50 is: 500,959,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,489,342.50 : 240,531,683.50 = 240,531,683.50 : x
  2. Step 2: Convert to fraction form
    115,489,342.50/240,531,683.50 = 240,531,683.50/x
  3. Step 3: Cross multiply
    115,489,342.50x = 240,531,683.50 × 240,531,683.50
  4. Step 4: Simplify right side
    115,489,342.50x = 57,855,490,767,344,176
  5. Step 5: Solve for x
    x = 57,855,490,767,344,176/115,489,342.50
  6. Step 6: Final answer
    x = 500,959,564.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.