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Finding the Third Proportional to 65,191,298.63 and 138,154,920.75

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Solution

The third proportional to 65,191,298.63 and 138,154,920.75 is: 292,781,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191,298.63 : 138,154,920.75 = 138,154,920.75 : x
  2. Step 2: Convert to fraction form
    65,191,298.63/138,154,920.75 = 138,154,920.75/x
  3. Step 3: Cross multiply
    65,191,298.63x = 138,154,920.75 × 138,154,920.75
  4. Step 4: Simplify right side
    65,191,298.63x = 19,086,782,127,438,780
  5. Step 5: Solve for x
    x = 19,086,782,127,438,780/65,191,298.63
  6. Step 6: Final answer
    x = 292,781,130.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.