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Finding the Third Proportional to 173,243,420 and 385,221,334

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Solution

The third proportional to 173,243,420 and 385,221,334 is: 856,572,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,243,420 : 385,221,334 = 385,221,334 : x
  2. Step 2: Convert to fraction form
    173,243,420/385,221,334 = 385,221,334/x
  3. Step 3: Cross multiply
    173,243,420x = 385,221,334 × 385,221,334
  4. Step 4: Simplify right side
    173,243,420x = 148,395,476,168,739,552
  5. Step 5: Solve for x
    x = 148,395,476,168,739,552/173,243,420
  6. Step 6: Final answer
    x = 856,572,077.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.