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Finding the Third Proportional to 291,211,266 and 393,573,346

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Solution

The third proportional to 291,211,266 and 393,573,346 is: 531,916,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,211,266 : 393,573,346 = 393,573,346 : x
  2. Step 2: Convert to fraction form
    291,211,266/393,573,346 = 393,573,346/x
  3. Step 3: Cross multiply
    291,211,266x = 393,573,346 × 393,573,346
  4. Step 4: Simplify right side
    291,211,266x = 154,899,978,681,635,712
  5. Step 5: Solve for x
    x = 154,899,978,681,635,712/291,211,266
  6. Step 6: Final answer
    x = 531,916,161.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.