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Finding the Third Proportional to 147,566,941 and 220,537,090

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Solution

The third proportional to 147,566,941 and 220,537,090 is: 329,590,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,566,941 : 220,537,090 = 220,537,090 : x
  2. Step 2: Convert to fraction form
    147,566,941/220,537,090 = 220,537,090/x
  3. Step 3: Cross multiply
    147,566,941x = 220,537,090 × 220,537,090
  4. Step 4: Simplify right side
    147,566,941x = 48,636,608,065,668,096
  5. Step 5: Solve for x
    x = 48,636,608,065,668,096/147,566,941
  6. Step 6: Final answer
    x = 329,590,135.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.