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Finding the Third Proportional to 128,579,292 and 194,064,654

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Solution

The third proportional to 128,579,292 and 194,064,654 is: 292,901,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,579,292 : 194,064,654 = 194,064,654 : x
  2. Step 2: Convert to fraction form
    128,579,292/194,064,654 = 194,064,654/x
  3. Step 3: Cross multiply
    128,579,292x = 194,064,654 × 194,064,654
  4. Step 4: Simplify right side
    128,579,292x = 37,661,089,932,139,712
  5. Step 5: Solve for x
    x = 37,661,089,932,139,712/128,579,292
  6. Step 6: Final answer
    x = 292,901,674.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.