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Finding the Third Proportional to 49,272,136,308 and 101,156,332,102

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Solution

The third proportional to 49,272,136,308 and 101,156,332,102 is: 207,675,256,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,272,136,308 : 101,156,332,102 = 101,156,332,102 : x
  2. Step 2: Convert to fraction form
    49,272,136,308/101,156,332,102 = 101,156,332,102/x
  3. Step 3: Cross multiply
    49,272,136,308x = 101,156,332,102 × 101,156,332,102
  4. Step 4: Simplify right side
    49,272,136,308x = 10,232,603,524,330,116,087,808
  5. Step 5: Solve for x
    x = 10,232,603,524,330,116,087,808/49,272,136,308
  6. Step 6: Final answer
    x = 207,675,256,058.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.