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Finding the Third Proportional to 174,049,988 and 261,075,014

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Solution

The third proportional to 174,049,988 and 261,075,014 is: 391,612,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,049,988 : 261,075,014 = 261,075,014 : x
  2. Step 2: Convert to fraction form
    174,049,988/261,075,014 = 261,075,014/x
  3. Step 3: Cross multiply
    174,049,988x = 261,075,014 × 261,075,014
  4. Step 4: Simplify right side
    174,049,988x = 68,160,162,935,100,192
  5. Step 5: Solve for x
    x = 68,160,162,935,100,192/174,049,988
  6. Step 6: Final answer
    x = 391,612,569.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.