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Finding the Third Proportional to 100,133,834,420 and 212,205,959,464

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Solution

The third proportional to 100,133,834,420 and 212,205,959,464 is: 449,711,823,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,133,834,420 : 212,205,959,464 = 212,205,959,464 : x
  2. Step 2: Convert to fraction form
    100,133,834,420/212,205,959,464 = 212,205,959,464/x
  3. Step 3: Cross multiply
    100,133,834,420x = 212,205,959,464 × 212,205,959,464
  4. Step 4: Simplify right side
    100,133,834,420x = 45,031,369,232,036,810,194,944
  5. Step 5: Solve for x
    x = 45,031,369,232,036,810,194,944/100,133,834,420
  6. Step 6: Final answer
    x = 449,711,823,110.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.