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Finding the Third Proportional to 96,738,785 and 147,921,695

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Solution

The third proportional to 96,738,785 and 147,921,695 is: 226,184,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,738,785 : 147,921,695 = 147,921,695 : x
  2. Step 2: Convert to fraction form
    96,738,785/147,921,695 = 147,921,695/x
  3. Step 3: Cross multiply
    96,738,785x = 147,921,695 × 147,921,695
  4. Step 4: Simplify right side
    96,738,785x = 21,880,827,851,673,024
  5. Step 5: Solve for x
    x = 21,880,827,851,673,024/96,738,785
  6. Step 6: Final answer
    x = 226,184,646.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.