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Finding the Third Proportional to 187,865,415 and 286,657,191

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Solution

The third proportional to 187,865,415 and 286,657,191 is: 437,400,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,865,415 : 286,657,191 = 286,657,191 : x
  2. Step 2: Convert to fraction form
    187,865,415/286,657,191 = 286,657,191/x
  3. Step 3: Cross multiply
    187,865,415x = 286,657,191 × 286,657,191
  4. Step 4: Simplify right side
    187,865,415x = 82,172,345,152,010,480
  5. Step 5: Solve for x
    x = 82,172,345,152,010,480/187,865,415
  6. Step 6: Final answer
    x = 437,400,067.23

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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.