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Finding the Third Proportional to 39,486,013.13 and 88,045,995.38

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Solution

The third proportional to 39,486,013.13 and 88,045,995.38 is: 196,325,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,486,013.13 : 88,045,995.38 = 88,045,995.38 : x
  2. Step 2: Convert to fraction form
    39,486,013.13/88,045,995.38 = 88,045,995.38/x
  3. Step 3: Cross multiply
    39,486,013.13x = 88,045,995.38 × 88,045,995.38
  4. Step 4: Simplify right side
    39,486,013.13x = 7,752,097,301,574,521
  5. Step 5: Solve for x
    x = 7,752,097,301,574,521/39,486,013.13
  6. Step 6: Final answer
    x = 196,325,146.25

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.