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Finding the Third Proportional to 185,425,348 and 386,110,422.50

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Solution

The third proportional to 185,425,348 and 386,110,422.50 is: 803,996,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,425,348 : 386,110,422.50 = 386,110,422.50 : x
  2. Step 2: Convert to fraction form
    185,425,348/386,110,422.50 = 386,110,422.50/x
  3. Step 3: Cross multiply
    185,425,348x = 386,110,422.50 × 386,110,422.50
  4. Step 4: Simplify right side
    185,425,348x = 149,081,258,363,128,512
  5. Step 5: Solve for x
    x = 149,081,258,363,128,512/185,425,348
  6. Step 6: Final answer
    x = 803,996,109.33

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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.