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Finding the Third Proportional to 86,290,387.50 and 185,387,848.50

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Solution

The third proportional to 86,290,387.50 and 185,387,848.50 is: 398,290,648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,290,387.50 : 185,387,848.50 = 185,387,848.50 : x
  2. Step 2: Convert to fraction form
    86,290,387.50/185,387,848.50 = 185,387,848.50/x
  3. Step 3: Cross multiply
    86,290,387.50x = 185,387,848.50 × 185,387,848.50
  4. Step 4: Simplify right side
    86,290,387.50x = 34,368,654,371,458,952
  5. Step 5: Solve for x
    x = 34,368,654,371,458,952/86,290,387.50
  6. Step 6: Final answer
    x = 398,290,648.21

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