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Finding the Third Proportional to 91,173,141,798 and 198,041,226,708

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Solution

The third proportional to 91,173,141,798 and 198,041,226,708 is: 430,174,135,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,173,141,798 : 198,041,226,708 = 198,041,226,708 : x
  2. Step 2: Convert to fraction form
    91,173,141,798/198,041,226,708 = 198,041,226,708/x
  3. Step 3: Cross multiply
    91,173,141,798x = 198,041,226,708 × 198,041,226,708
  4. Step 4: Simplify right side
    91,173,141,798x = 39,220,327,476,009,449,291,776
  5. Step 5: Solve for x
    x = 39,220,327,476,009,449,291,776/91,173,141,798
  6. Step 6: Final answer
    x = 430,174,135,743.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.