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Finding the Third Proportional to 194,888,266.50 and 405,897,216

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Solution

The third proportional to 194,888,266.50 and 405,897,216 is: 845,369,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,888,266.50 : 405,897,216 = 405,897,216 : x
  2. Step 2: Convert to fraction form
    194,888,266.50/405,897,216 = 405,897,216/x
  3. Step 3: Cross multiply
    194,888,266.50x = 405,897,216 × 405,897,216
  4. Step 4: Simplify right side
    194,888,266.50x = 164,752,549,956,550,656
  5. Step 5: Solve for x
    x = 164,752,549,956,550,656/194,888,266.50
  6. Step 6: Final answer
    x = 845,369,261.66

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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.