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Finding the Third Proportional to 268,109,930.25 and 578,544,054.75

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Solution

The third proportional to 268,109,930.25 and 578,544,054.75 is: 1,248,417,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,109,930.25 : 578,544,054.75 = 578,544,054.75 : x
  2. Step 2: Convert to fraction form
    268,109,930.25/578,544,054.75 = 578,544,054.75/x
  3. Step 3: Cross multiply
    268,109,930.25x = 578,544,054.75 × 578,544,054.75
  4. Step 4: Simplify right side
    268,109,930.25x = 334,713,223,286,571,008
  5. Step 5: Solve for x
    x = 334,713,223,286,571,008/268,109,930.25
  6. Step 6: Final answer
    x = 1,248,417,852.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.