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Finding the Third Proportional to 177,391,942 and 265,364,585

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Solution

The third proportional to 177,391,942 and 265,364,585 is: 396,964,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,391,942 : 265,364,585 = 265,364,585 : x
  2. Step 2: Convert to fraction form
    177,391,942/265,364,585 = 265,364,585/x
  3. Step 3: Cross multiply
    177,391,942x = 265,364,585 × 265,364,585
  4. Step 4: Simplify right side
    177,391,942x = 70,418,362,972,222,224
  5. Step 5: Solve for x
    x = 70,418,362,972,222,224/177,391,942
  6. Step 6: Final answer
    x = 396,964,834.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.