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Finding the Third Proportional to 127,602,854 and 197,965,518

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Solution

The third proportional to 127,602,854 and 197,965,518 is: 307,127,506.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,602,854 : 197,965,518 = 197,965,518 : x
  2. Step 2: Convert to fraction form
    127,602,854/197,965,518 = 197,965,518/x
  3. Step 3: Cross multiply
    127,602,854x = 197,965,518 × 197,965,518
  4. Step 4: Simplify right side
    127,602,854x = 39,190,346,317,008,320
  5. Step 5: Solve for x
    x = 39,190,346,317,008,320/127,602,854
  6. Step 6: Final answer
    x = 307,127,506.07

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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.