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Finding the Third Proportional to 185,127,255 and 385,577,381.25

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Solution

The third proportional to 185,127,255 and 385,577,381.25 is: 803,068,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,127,255 : 385,577,381.25 = 385,577,381.25 : x
  2. Step 2: Convert to fraction form
    185,127,255/385,577,381.25 = 385,577,381.25/x
  3. Step 3: Cross multiply
    185,127,255x = 385,577,381.25 × 385,577,381.25
  4. Step 4: Simplify right side
    185,127,255x = 148,669,916,931,607,840
  5. Step 5: Solve for x
    x = 148,669,916,931,607,840/185,127,255
  6. Step 6: Final answer
    x = 803,068,769.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.