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Finding the Third Proportional to 88,417,001,698.50 and 192,325,576,911

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Solution

The third proportional to 88,417,001,698.50 and 192,325,576,911 is: 418,348,584,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,417,001,698.50 : 192,325,576,911 = 192,325,576,911 : x
  2. Step 2: Convert to fraction form
    88,417,001,698.50/192,325,576,911 = 192,325,576,911/x
  3. Step 3: Cross multiply
    88,417,001,698.50x = 192,325,576,911 × 192,325,576,911
  4. Step 4: Simplify right side
    88,417,001,698.50x = 36,989,127,534,148,975,591,424
  5. Step 5: Solve for x
    x = 36,989,127,534,148,975,591,424/88,417,001,698.50
  6. Step 6: Final answer
    x = 418,348,584,814.96

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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.