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Finding the Third Proportional to 239,305,725 and 520,539,952.50

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Solution

The third proportional to 239,305,725 and 520,539,952.50 is: 1,132,283,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,305,725 : 520,539,952.50 = 520,539,952.50 : x
  2. Step 2: Convert to fraction form
    239,305,725/520,539,952.50 = 520,539,952.50/x
  3. Step 3: Cross multiply
    239,305,725x = 520,539,952.50 × 520,539,952.50
  4. Step 4: Simplify right side
    239,305,725x = 270,961,842,148,702,272
  5. Step 5: Solve for x
    x = 270,961,842,148,702,272/239,305,725
  6. Step 6: Final answer
    x = 1,132,283,158.49

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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.