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Finding the Third Proportional to 281,242,258 and 447,531,070

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Solution

The third proportional to 281,242,258 and 447,531,070 is: 712,140,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,242,258 : 447,531,070 = 447,531,070 : x
  2. Step 2: Convert to fraction form
    281,242,258/447,531,070 = 447,531,070/x
  3. Step 3: Cross multiply
    281,242,258x = 447,531,070 × 447,531,070
  4. Step 4: Simplify right side
    281,242,258x = 200,284,058,615,344,896
  5. Step 5: Solve for x
    x = 200,284,058,615,344,896/281,242,258
  6. Step 6: Final answer
    x = 712,140,700.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.