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Finding the Third Proportional to 191,525,634 and 297,169,074

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Solution

The third proportional to 191,525,634 and 297,169,074 is: 461,084,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,525,634 : 297,169,074 = 297,169,074 : x
  2. Step 2: Convert to fraction form
    191,525,634/297,169,074 = 297,169,074/x
  3. Step 3: Cross multiply
    191,525,634x = 297,169,074 × 297,169,074
  4. Step 4: Simplify right side
    191,525,634x = 88,309,458,542,017,472
  5. Step 5: Solve for x
    x = 88,309,458,542,017,472/191,525,634
  6. Step 6: Final answer
    x = 461,084,277.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.