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Finding the Third Proportional to 118,286,624 and 258,871,576

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Solution

The third proportional to 118,286,624 and 258,871,576 is: 566,543,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,286,624 : 258,871,576 = 258,871,576 : x
  2. Step 2: Convert to fraction form
    118,286,624/258,871,576 = 258,871,576/x
  3. Step 3: Cross multiply
    118,286,624x = 258,871,576 × 258,871,576
  4. Step 4: Simplify right side
    118,286,624x = 67,014,492,860,723,776
  5. Step 5: Solve for x
    x = 67,014,492,860,723,776/118,286,624
  6. Step 6: Final answer
    x = 566,543,287.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.