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Finding the Third Proportional to 117,948,672 and 245,314,176

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Solution

The third proportional to 117,948,672 and 245,314,176 is: 510,213,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,948,672 : 245,314,176 = 245,314,176 : x
  2. Step 2: Convert to fraction form
    117,948,672/245,314,176 = 245,314,176/x
  3. Step 3: Cross multiply
    117,948,672x = 245,314,176 × 245,314,176
  4. Step 4: Simplify right side
    117,948,672x = 60,179,044,946,558,976
  5. Step 5: Solve for x
    x = 60,179,044,946,558,976/117,948,672
  6. Step 6: Final answer
    x = 510,213,840.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.