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Finding the Third Proportional to 148,047 and 221,083.13

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Solution

The third proportional to 148,047 and 221,083.13 is: 330,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,047 : 221,083.13 = 221,083.13 : x
  2. Step 2: Convert to fraction form
    148,047/221,083.13 = 221,083.13/x
  3. Step 3: Cross multiply
    148,047x = 221,083.13 × 221,083.13
  4. Step 4: Simplify right side
    148,047x = 48,877,748,159.77
  5. Step 5: Solve for x
    x = 48,877,748,159.77/148,047
  6. Step 6: Final answer
    x = 330,150.21

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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.