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Finding the Third Proportional to 292,553,666 and 401,162,154

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Solution

The third proportional to 292,553,666 and 401,162,154 is: 550,090,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,553,666 : 401,162,154 = 401,162,154 : x
  2. Step 2: Convert to fraction form
    292,553,666/401,162,154 = 401,162,154/x
  3. Step 3: Cross multiply
    292,553,666x = 401,162,154 × 401,162,154
  4. Step 4: Simplify right side
    292,553,666x = 160,931,073,801,919,712
  5. Step 5: Solve for x
    x = 160,931,073,801,919,712/292,553,666
  6. Step 6: Final answer
    x = 550,090,778.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.