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Finding the Third Proportional to 82,785,719 and 174,152,254

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Solution

The third proportional to 82,785,719 and 174,152,254 is: 366,355,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,785,719 : 174,152,254 = 174,152,254 : x
  2. Step 2: Convert to fraction form
    82,785,719/174,152,254 = 174,152,254/x
  3. Step 3: Cross multiply
    82,785,719x = 174,152,254 × 174,152,254
  4. Step 4: Simplify right side
    82,785,719x = 30,329,007,573,280,516
  5. Step 5: Solve for x
    x = 30,329,007,573,280,516/82,785,719
  6. Step 6: Final answer
    x = 366,355,549.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.