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Finding the Third Proportional to 91,611,820.13 and 189,600,932.25

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Solution

The third proportional to 91,611,820.13 and 189,600,932.25 is: 392,400,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,611,820.13 : 189,600,932.25 = 189,600,932.25 : x
  2. Step 2: Convert to fraction form
    91,611,820.13/189,600,932.25 = 189,600,932.25/x
  3. Step 3: Cross multiply
    91,611,820.13x = 189,600,932.25 × 189,600,932.25
  4. Step 4: Simplify right side
    91,611,820.13x = 35,948,513,510,069,092
  5. Step 5: Solve for x
    x = 35,948,513,510,069,092/91,611,820.13
  6. Step 6: Final answer
    x = 392,400,385.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.