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Finding the Third Proportional to 127,706,880 and 194,748,768

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Solution

The third proportional to 127,706,880 and 194,748,768 is: 296,985,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,706,880 : 194,748,768 = 194,748,768 : x
  2. Step 2: Convert to fraction form
    127,706,880/194,748,768 = 194,748,768/x
  3. Step 3: Cross multiply
    127,706,880x = 194,748,768 × 194,748,768
  4. Step 4: Simplify right side
    127,706,880x = 37,927,082,637,517,824
  5. Step 5: Solve for x
    x = 37,927,082,637,517,824/127,706,880
  6. Step 6: Final answer
    x = 296,985,429.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.