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Finding the Third Proportional to 131,585,178 and 285,136,584

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Solution

The third proportional to 131,585,178 and 285,136,584 is: 617,872,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,585,178 : 285,136,584 = 285,136,584 : x
  2. Step 2: Convert to fraction form
    131,585,178/285,136,584 = 285,136,584/x
  3. Step 3: Cross multiply
    131,585,178x = 285,136,584 × 285,136,584
  4. Step 4: Simplify right side
    131,585,178x = 81,302,871,535,189,056
  5. Step 5: Solve for x
    x = 81,302,871,535,189,056/131,585,178
  6. Step 6: Final answer
    x = 617,872,565.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.