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Finding the Third Proportional to 68,129,680.50 and 147,759,157.13

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Solution

The third proportional to 68,129,680.50 and 147,759,157.13 is: 320,458,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,129,680.50 : 147,759,157.13 = 147,759,157.13 : x
  2. Step 2: Convert to fraction form
    68,129,680.50/147,759,157.13 = 147,759,157.13/x
  3. Step 3: Cross multiply
    68,129,680.50x = 147,759,157.13 × 147,759,157.13
  4. Step 4: Simplify right side
    68,129,680.50x = 21,832,768,514,290,440
  5. Step 5: Solve for x
    x = 21,832,768,514,290,440/68,129,680.50
  6. Step 6: Final answer
    x = 320,458,988.71

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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.