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Finding the Third Proportional to 85,184,694 and 139,084,209

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Solution

The third proportional to 85,184,694 and 139,084,209 is: 227,087,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,184,694 : 139,084,209 = 139,084,209 : x
  2. Step 2: Convert to fraction form
    85,184,694/139,084,209 = 139,084,209/x
  3. Step 3: Cross multiply
    85,184,694x = 139,084,209 × 139,084,209
  4. Step 4: Simplify right side
    85,184,694x = 19,344,417,193,155,680
  5. Step 5: Solve for x
    x = 19,344,417,193,155,680/85,184,694
  6. Step 6: Final answer
    x = 227,087,946.02

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.