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Finding the Third Proportional to 88,417,001,700 and 192,325,576,914

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Solution

The third proportional to 88,417,001,700 and 192,325,576,914 is: 418,348,584,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,417,001,700 : 192,325,576,914 = 192,325,576,914 : x
  2. Step 2: Convert to fraction form
    88,417,001,700/192,325,576,914 = 192,325,576,914/x
  3. Step 3: Cross multiply
    88,417,001,700x = 192,325,576,914 × 192,325,576,914
  4. Step 4: Simplify right side
    88,417,001,700x = 36,989,127,535,302,929,285,120
  5. Step 5: Solve for x
    x = 36,989,127,535,302,929,285,120/88,417,001,700
  6. Step 6: Final answer
    x = 418,348,584,820.91

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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.