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Finding the Third Proportional to 83,499,670.13 and 172,727,093.25

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Solution

The third proportional to 83,499,670.13 and 172,727,093.25 is: 357,302,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,499,670.13 : 172,727,093.25 = 172,727,093.25 : x
  2. Step 2: Convert to fraction form
    83,499,670.13/172,727,093.25 = 172,727,093.25/x
  3. Step 3: Cross multiply
    83,499,670.13x = 172,727,093.25 × 172,727,093.25
  4. Step 4: Simplify right side
    83,499,670.13x = 29,834,648,742,594,196
  5. Step 5: Solve for x
    x = 29,834,648,742,594,196/83,499,670.13
  6. Step 6: Final answer
    x = 357,302,594.11

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.