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Finding the Third Proportional to 90,806,376,212 and 212,164,676,388

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Solution

The third proportional to 90,806,376,212 and 212,164,676,388 is: 495,712,435,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,806,376,212 : 212,164,676,388 = 212,164,676,388 : x
  2. Step 2: Convert to fraction form
    90,806,376,212/212,164,676,388 = 212,164,676,388/x
  3. Step 3: Cross multiply
    90,806,376,212x = 212,164,676,388 × 212,164,676,388
  4. Step 4: Simplify right side
    90,806,376,212x = 45,013,849,906,824,764,981,248
  5. Step 5: Solve for x
    x = 45,013,849,906,824,764,981,248/90,806,376,212
  6. Step 6: Final answer
    x = 495,712,435,454.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.