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Finding the Third Proportional to 149,574,738 and 229,765,115

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Solution

The third proportional to 149,574,738 and 229,765,115 is: 352,947,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,574,738 : 229,765,115 = 229,765,115 : x
  2. Step 2: Convert to fraction form
    149,574,738/229,765,115 = 229,765,115/x
  3. Step 3: Cross multiply
    149,574,738x = 229,765,115 × 229,765,115
  4. Step 4: Simplify right side
    149,574,738x = 52,792,008,070,963,224
  5. Step 5: Solve for x
    x = 52,792,008,070,963,224/149,574,738
  6. Step 6: Final answer
    x = 352,947,354.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.