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Finding the Third Proportional to 42,702.19 and 93,570.19

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Solution

The third proportional to 42,702.19 and 93,570.19 is: 205,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,702.19 : 93,570.19 = 93,570.19 : x
  2. Step 2: Convert to fraction form
    42,702.19/93,570.19 = 93,570.19/x
  3. Step 3: Cross multiply
    42,702.19x = 93,570.19 × 93,570.19
  4. Step 4: Simplify right side
    42,702.19x = 8,755,379,988.79
  5. Step 5: Solve for x
    x = 8,755,379,988.79/42,702.19
  6. Step 6: Final answer
    x = 205,033.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.