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Finding the Third Proportional to 82,065,873.38 and 175,860,354.38

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Solution

The third proportional to 82,065,873.38 and 175,860,354.38 is: 376,854,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,065,873.38 : 175,860,354.38 = 175,860,354.38 : x
  2. Step 2: Convert to fraction form
    82,065,873.38/175,860,354.38 = 175,860,354.38/x
  3. Step 3: Cross multiply
    82,065,873.38x = 175,860,354.38 × 175,860,354.38
  4. Step 4: Simplify right side
    82,065,873.38x = 30,926,864,240,900,580
  5. Step 5: Solve for x
    x = 30,926,864,240,900,580/82,065,873.38
  6. Step 6: Final answer
    x = 376,854,141.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.