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Finding the Third Proportional to 221,824,955 and 344,834,229

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Solution

The third proportional to 221,824,955 and 344,834,229 is: 536,056,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,824,955 : 344,834,229 = 344,834,229 : x
  2. Step 2: Convert to fraction form
    221,824,955/344,834,229 = 344,834,229/x
  3. Step 3: Cross multiply
    221,824,955x = 344,834,229 × 344,834,229
  4. Step 4: Simplify right side
    221,824,955x = 118,910,645,490,024,448
  5. Step 5: Solve for x
    x = 118,910,645,490,024,448/221,824,955
  6. Step 6: Final answer
    x = 536,056,213.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.