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Finding the Third Proportional to 91,830.38 and 141,901.50

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Solution

The third proportional to 91,830.38 and 141,901.50 is: 219,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,830.38 : 141,901.50 = 141,901.50 : x
  2. Step 2: Convert to fraction form
    91,830.38/141,901.50 = 141,901.50/x
  3. Step 3: Cross multiply
    91,830.38x = 141,901.50 × 141,901.50
  4. Step 4: Simplify right side
    91,830.38x = 20,136,035,702.25
  5. Step 5: Solve for x
    x = 20,136,035,702.25/91,830.38
  6. Step 6: Final answer
    x = 219,274.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.