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Finding the Third Proportional to 117,044,164 and 254,692,832

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Solution

The third proportional to 117,044,164 and 254,692,832 is: 554,221,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,044,164 : 254,692,832 = 254,692,832 : x
  2. Step 2: Convert to fraction form
    117,044,164/254,692,832 = 254,692,832/x
  3. Step 3: Cross multiply
    117,044,164x = 254,692,832 × 254,692,832
  4. Step 4: Simplify right side
    117,044,164x = 64,868,438,672,180,224
  5. Step 5: Solve for x
    x = 64,868,438,672,180,224/117,044,164
  6. Step 6: Final answer
    x = 554,221,897.58

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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.