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Finding the Third Proportional to 35,745,158.25 and 77,159,020.50

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Solution

The third proportional to 35,745,158.25 and 77,159,020.50 is: 166,554,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,745,158.25 : 77,159,020.50 = 77,159,020.50 : x
  2. Step 2: Convert to fraction form
    35,745,158.25/77,159,020.50 = 77,159,020.50/x
  3. Step 3: Cross multiply
    35,745,158.25x = 77,159,020.50 × 77,159,020.50
  4. Step 4: Simplify right side
    35,745,158.25x = 5,953,514,444,519,420
  5. Step 5: Solve for x
    x = 5,953,514,444,519,420/35,745,158.25
  6. Step 6: Final answer
    x = 166,554,429.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.