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Finding the Third Proportional to 151,627,312 and 221,754,336

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Solution

The third proportional to 151,627,312 and 221,754,336 is: 324,314,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,627,312 : 221,754,336 = 221,754,336 : x
  2. Step 2: Convert to fraction form
    151,627,312/221,754,336 = 221,754,336/x
  3. Step 3: Cross multiply
    151,627,312x = 221,754,336 × 221,754,336
  4. Step 4: Simplify right side
    151,627,312x = 49,174,985,534,800,896
  5. Step 5: Solve for x
    x = 49,174,985,534,800,896/151,627,312
  6. Step 6: Final answer
    x = 324,314,827.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.