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Finding the Third Proportional to 64,514,248,422 and 101,203,819,082

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Solution

The third proportional to 64,514,248,422 and 101,203,819,082 is: 158,758,929,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,514,248,422 : 101,203,819,082 = 101,203,819,082 : x
  2. Step 2: Convert to fraction form
    64,514,248,422/101,203,819,082 = 101,203,819,082/x
  3. Step 3: Cross multiply
    64,514,248,422x = 101,203,819,082 × 101,203,819,082
  4. Step 4: Simplify right side
    64,514,248,422x = 10,242,212,996,782,187,610,112
  5. Step 5: Solve for x
    x = 10,242,212,996,782,187,610,112/64,514,248,422
  6. Step 6: Final answer
    x = 158,758,929,187.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.