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Finding the Third Proportional to 82,323,708.75 and 162,565,392.38

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Solution

The third proportional to 82,323,708.75 and 162,565,392.38 is: 321,019,390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,323,708.75 : 162,565,392.38 = 162,565,392.38 : x
  2. Step 2: Convert to fraction form
    82,323,708.75/162,565,392.38 = 162,565,392.38/x
  3. Step 3: Cross multiply
    82,323,708.75x = 162,565,392.38 × 162,565,392.38
  4. Step 4: Simplify right side
    82,323,708.75x = 26,427,506,798,037,708
  5. Step 5: Solve for x
    x = 26,427,506,798,037,708/82,323,708.75
  6. Step 6: Final answer
    x = 321,019,390.40

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.