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Finding the Third Proportional to 95,335,769 and 202,113,715

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Solution

The third proportional to 95,335,769 and 202,113,715 is: 428,485,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,335,769 : 202,113,715 = 202,113,715 : x
  2. Step 2: Convert to fraction form
    95,335,769/202,113,715 = 202,113,715/x
  3. Step 3: Cross multiply
    95,335,769x = 202,113,715 × 202,113,715
  4. Step 4: Simplify right side
    95,335,769x = 40,849,953,791,101,224
  5. Step 5: Solve for x
    x = 40,849,953,791,101,224/95,335,769
  6. Step 6: Final answer
    x = 428,485,071.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.