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Finding the Third Proportional to 96,974,088 and 215,471,577

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Solution

The third proportional to 96,974,088 and 215,471,577 is: 478,767,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,974,088 : 215,471,577 = 215,471,577 : x
  2. Step 2: Convert to fraction form
    96,974,088/215,471,577 = 215,471,577/x
  3. Step 3: Cross multiply
    96,974,088x = 215,471,577 × 215,471,577
  4. Step 4: Simplify right side
    96,974,088x = 46,428,000,494,866,928
  5. Step 5: Solve for x
    x = 46,428,000,494,866,928/96,974,088
  6. Step 6: Final answer
    x = 478,767,075.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.