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Finding the Third Proportional to 127,218,148 and 276,963,217

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Solution

The third proportional to 127,218,148 and 276,963,217 is: 602,969,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,218,148 : 276,963,217 = 276,963,217 : x
  2. Step 2: Convert to fraction form
    127,218,148/276,963,217 = 276,963,217/x
  3. Step 3: Cross multiply
    127,218,148x = 276,963,217 × 276,963,217
  4. Step 4: Simplify right side
    127,218,148x = 76,708,623,570,989,088
  5. Step 5: Solve for x
    x = 76,708,623,570,989,088/127,218,148
  6. Step 6: Final answer
    x = 602,969,189.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.