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Finding the Third Proportional to 187,908,512 and 287,478,984

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Solution

The third proportional to 187,908,512 and 287,478,984 is: 439,810,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,908,512 : 287,478,984 = 287,478,984 : x
  2. Step 2: Convert to fraction form
    187,908,512/287,478,984 = 287,478,984/x
  3. Step 3: Cross multiply
    187,908,512x = 287,478,984 × 287,478,984
  4. Step 4: Simplify right side
    187,908,512x = 82,644,166,241,672,256
  5. Step 5: Solve for x
    x = 82,644,166,241,672,256/187,908,512
  6. Step 6: Final answer
    x = 439,810,657.65

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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.