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Finding the Third Proportional to 127,937,254 and 196,525,642

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Solution

The third proportional to 127,937,254 and 196,525,642 is: 301,884,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,937,254 : 196,525,642 = 196,525,642 : x
  2. Step 2: Convert to fraction form
    127,937,254/196,525,642 = 196,525,642/x
  3. Step 3: Cross multiply
    127,937,254x = 196,525,642 × 196,525,642
  4. Step 4: Simplify right side
    127,937,254x = 38,622,327,963,512,160
  5. Step 5: Solve for x
    x = 38,622,327,963,512,160/127,937,254
  6. Step 6: Final answer
    x = 301,884,922.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.