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Finding the Third Proportional to 118,708,796 and 257,721,430

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Solution

The third proportional to 118,708,796 and 257,721,430 is: 559,523,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,708,796 : 257,721,430 = 257,721,430 : x
  2. Step 2: Convert to fraction form
    118,708,796/257,721,430 = 257,721,430/x
  3. Step 3: Cross multiply
    118,708,796x = 257,721,430 × 257,721,430
  4. Step 4: Simplify right side
    118,708,796x = 66,420,335,481,244,896
  5. Step 5: Solve for x
    x = 66,420,335,481,244,896/118,708,796
  6. Step 6: Final answer
    x = 559,523,284.87

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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.