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Finding the Third Proportional to 261,075,141 and 391,612,603.50

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Solution

The third proportional to 261,075,141 and 391,612,603.50 is: 587,418,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,075,141 : 391,612,603.50 = 391,612,603.50 : x
  2. Step 2: Convert to fraction form
    261,075,141/391,612,603.50 = 391,612,603.50/x
  3. Step 3: Cross multiply
    261,075,141x = 391,612,603.50 × 391,612,603.50
  4. Step 4: Simplify right side
    261,075,141x = 153,360,431,220,048,224
  5. Step 5: Solve for x
    x = 153,360,431,220,048,224/261,075,141
  6. Step 6: Final answer
    x = 587,418,743.25

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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.