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Finding the Third Proportional to 118,078,502 and 256,228,036

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Solution

The third proportional to 118,078,502 and 256,228,036 is: 556,009,818.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,078,502 : 256,228,036 = 256,228,036 : x
  2. Step 2: Convert to fraction form
    118,078,502/256,228,036 = 256,228,036/x
  3. Step 3: Cross multiply
    118,078,502x = 256,228,036 × 256,228,036
  4. Step 4: Simplify right side
    118,078,502x = 65,652,806,432,417,296
  5. Step 5: Solve for x
    x = 65,652,806,432,417,296/118,078,502
  6. Step 6: Final answer
    x = 556,009,818.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.