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Finding the Third Proportional to 76,854,360.94 and 167,354,562.38

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Solution

The third proportional to 76,854,360.94 and 167,354,562.38 is: 364,423,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854,360.94 : 167,354,562.38 = 167,354,562.38 : x
  2. Step 2: Convert to fraction form
    76,854,360.94/167,354,562.38 = 167,354,562.38/x
  3. Step 3: Cross multiply
    76,854,360.94x = 167,354,562.38 × 167,354,562.38
  4. Step 4: Simplify right side
    76,854,360.94x = 28,007,549,547,727,764
  5. Step 5: Solve for x
    x = 28,007,549,547,727,764/76,854,360.94
  6. Step 6: Final answer
    x = 364,423,686.65

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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.