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Finding the Third Proportional to 147,566,944 and 220,537,094

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Solution

The third proportional to 147,566,944 and 220,537,094 is: 329,590,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,566,944 : 220,537,094 = 220,537,094 : x
  2. Step 2: Convert to fraction form
    147,566,944/220,537,094 = 220,537,094/x
  3. Step 3: Cross multiply
    147,566,944x = 220,537,094 × 220,537,094
  4. Step 4: Simplify right side
    147,566,944x = 48,636,609,829,964,832
  5. Step 5: Solve for x
    x = 48,636,609,829,964,832/147,566,944
  6. Step 6: Final answer
    x = 329,590,140.66

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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.