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Finding the Third Proportional to 240,097,065.75 and 516,594,559.50

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Solution

The third proportional to 240,097,065.75 and 516,594,559.50 is: 1,111,508,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,097,065.75 : 516,594,559.50 = 516,594,559.50 : x
  2. Step 2: Convert to fraction form
    240,097,065.75/516,594,559.50 = 516,594,559.50/x
  3. Step 3: Cross multiply
    240,097,065.75x = 516,594,559.50 × 516,594,559.50
  4. Step 4: Simplify right side
    240,097,065.75x = 266,869,938,904,999,040
  5. Step 5: Solve for x
    x = 266,869,938,904,999,040/240,097,065.75
  6. Step 6: Final answer
    x = 1,111,508,539.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.