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Finding the Third Proportional to 187,865,417 and 286,657,194

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Solution

The third proportional to 187,865,417 and 286,657,194 is: 437,400,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,865,417 : 286,657,194 = 286,657,194 : x
  2. Step 2: Convert to fraction form
    187,865,417/286,657,194 = 286,657,194/x
  3. Step 3: Cross multiply
    187,865,417x = 286,657,194 × 286,657,194
  4. Step 4: Simplify right side
    187,865,417x = 82,172,346,871,953,632
  5. Step 5: Solve for x
    x = 82,172,346,871,953,632/187,865,417
  6. Step 6: Final answer
    x = 437,400,071.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.