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Finding the Third Proportional to 74,731,743.50 and 105,192,904.25

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Solution

The third proportional to 74,731,743.50 and 105,192,904.25 is: 148,070,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,731,743.50 : 105,192,904.25 = 105,192,904.25 : x
  2. Step 2: Convert to fraction form
    74,731,743.50/105,192,904.25 = 105,192,904.25/x
  3. Step 3: Cross multiply
    74,731,743.50x = 105,192,904.25 × 105,192,904.25
  4. Step 4: Simplify right side
    74,731,743.50x = 11,065,547,104,549,668
  5. Step 5: Solve for x
    x = 11,065,547,104,549,668/74,731,743.50
  6. Step 6: Final answer
    x = 148,070,238.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.