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Finding the Third Proportional to 240,984,171.47 and 524,750,127.32

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Solution

The third proportional to 240,984,171.47 and 524,750,127.32 is: 1,142,658,849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,984,171.47 : 524,750,127.32 = 524,750,127.32 : x
  2. Step 2: Convert to fraction form
    240,984,171.47/524,750,127.32 = 524,750,127.32/x
  3. Step 3: Cross multiply
    240,984,171.47x = 524,750,127.32 × 524,750,127.32
  4. Step 4: Simplify right side
    240,984,171.47x = 275,362,696,121,988,864
  5. Step 5: Solve for x
    x = 275,362,696,121,988,864/240,984,171.47
  6. Step 6: Final answer
    x = 1,142,658,849.52

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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.