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Finding the Third Proportional to 82,813,359 and 174,193,743.50

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Solution

The third proportional to 82,813,359 and 174,193,743.50 is: 366,407,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813,359 : 174,193,743.50 = 174,193,743.50 : x
  2. Step 2: Convert to fraction form
    82,813,359/174,193,743.50 = 174,193,743.50/x
  3. Step 3: Cross multiply
    82,813,359x = 174,193,743.50 × 174,193,743.50
  4. Step 4: Simplify right side
    82,813,359x = 30,343,460,274,543,792
  5. Step 5: Solve for x
    x = 30,343,460,274,543,792/82,813,359
  6. Step 6: Final answer
    x = 366,407,795.08

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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.