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Finding the Third Proportional to 44,703 and 97,711.50

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Solution

The third proportional to 44,703 and 97,711.50 is: 213,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,703 : 97,711.50 = 97,711.50 : x
  2. Step 2: Convert to fraction form
    44,703/97,711.50 = 97,711.50/x
  3. Step 3: Cross multiply
    44,703x = 97,711.50 × 97,711.50
  4. Step 4: Simplify right side
    44,703x = 9,547,537,232.25
  5. Step 5: Solve for x
    x = 9,547,537,232.25/44,703
  6. Step 6: Final answer
    x = 213,577.10

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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.