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Finding the Third Proportional to 88,310,865,461 and 192,605,068,173

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Solution

The third proportional to 88,310,865,461 and 192,605,068,173 is: 420,069,626,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,310,865,461 : 192,605,068,173 = 192,605,068,173 : x
  2. Step 2: Convert to fraction form
    88,310,865,461/192,605,068,173 = 192,605,068,173/x
  3. Step 3: Cross multiply
    88,310,865,461x = 192,605,068,173 × 192,605,068,173
  4. Step 4: Simplify right side
    88,310,865,461x = 37,096,712,285,925,977,096,192
  5. Step 5: Solve for x
    x = 37,096,712,285,925,977,096,192/88,310,865,461
  6. Step 6: Final answer
    x = 420,069,626,679.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.