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Finding the Third Proportional to 59,184,584 and 129,683,248

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Solution

The third proportional to 59,184,584 and 129,683,248 is: 284,157,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,184,584 : 129,683,248 = 129,683,248 : x
  2. Step 2: Convert to fraction form
    59,184,584/129,683,248 = 129,683,248/x
  3. Step 3: Cross multiply
    59,184,584x = 129,683,248 × 129,683,248
  4. Step 4: Simplify right side
    59,184,584x = 16,817,744,811,829,504
  5. Step 5: Solve for x
    x = 16,817,744,811,829,504/59,184,584
  6. Step 6: Final answer
    x = 284,157,523.38

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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.