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Finding the Third Proportional to 58,250,103.75 and 97,071,864.75

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Solution

The third proportional to 58,250,103.75 and 97,071,864.75 is: 161,767,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,250,103.75 : 97,071,864.75 = 97,071,864.75 : x
  2. Step 2: Convert to fraction form
    58,250,103.75/97,071,864.75 = 97,071,864.75/x
  3. Step 3: Cross multiply
    58,250,103.75x = 97,071,864.75 × 97,071,864.75
  4. Step 4: Simplify right side
    58,250,103.75x = 9,422,946,926,042,292
  5. Step 5: Solve for x
    x = 9,422,946,926,042,292/58,250,103.75
  6. Step 6: Final answer
    x = 161,767,041.08

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.