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Finding the Third Proportional to 117,713,054.25 and 253,416,253.50

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Solution

The third proportional to 117,713,054.25 and 253,416,253.50 is: 545,562,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,713,054.25 : 253,416,253.50 = 253,416,253.50 : x
  2. Step 2: Convert to fraction form
    117,713,054.25/253,416,253.50 = 253,416,253.50/x
  3. Step 3: Cross multiply
    117,713,054.25x = 253,416,253.50 × 253,416,253.50
  4. Step 4: Simplify right side
    117,713,054.25x = 64,219,797,537,976,264
  5. Step 5: Solve for x
    x = 64,219,797,537,976,264/117,713,054.25
  6. Step 6: Final answer
    x = 545,562,239.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.