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Finding the Third Proportional to 147,901,284 and 230,805,596.25

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Solution

The third proportional to 147,901,284 and 230,805,596.25 is: 360,180,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,901,284 : 230,805,596.25 = 230,805,596.25 : x
  2. Step 2: Convert to fraction form
    147,901,284/230,805,596.25 = 230,805,596.25/x
  3. Step 3: Cross multiply
    147,901,284x = 230,805,596.25 × 230,805,596.25
  4. Step 4: Simplify right side
    147,901,284x = 53,271,223,260,318,016
  5. Step 5: Solve for x
    x = 53,271,223,260,318,016/147,901,284
  6. Step 6: Final answer
    x = 360,180,938.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.