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Finding the Third Proportional to 68,152,995 and 105,729,796.13

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Solution

The third proportional to 68,152,995 and 105,729,796.13 is: 164,024,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,152,995 : 105,729,796.13 = 105,729,796.13 : x
  2. Step 2: Convert to fraction form
    68,152,995/105,729,796.13 = 105,729,796.13/x
  3. Step 3: Cross multiply
    68,152,995x = 105,729,796.13 × 105,729,796.13
  4. Step 4: Simplify right side
    68,152,995x = 11,178,789,788,634,066
  5. Step 5: Solve for x
    x = 11,178,789,788,634,066/68,152,995
  6. Step 6: Final answer
    x = 164,024,923.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.