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Finding the Third Proportional to 88,310,866,088 and 192,605,069,326

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Solution

The third proportional to 88,310,866,088 and 192,605,069,326 is: 420,069,628,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,310,866,088 : 192,605,069,326 = 192,605,069,326 : x
  2. Step 2: Convert to fraction form
    88,310,866,088/192,605,069,326 = 192,605,069,326/x
  3. Step 3: Cross multiply
    88,310,866,088x = 192,605,069,326 × 192,605,069,326
  4. Step 4: Simplify right side
    88,310,866,088x = 37,096,712,730,073,267,961,856
  5. Step 5: Solve for x
    x = 37,096,712,730,073,267,961,856/88,310,866,088
  6. Step 6: Final answer
    x = 420,069,628,726.18

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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.