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Finding the Third Proportional to 98,600,852.25 and 153,870,392.25

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Solution

The third proportional to 98,600,852.25 and 153,870,392.25 is: 240,120,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,600,852.25 : 153,870,392.25 = 153,870,392.25 : x
  2. Step 2: Convert to fraction form
    98,600,852.25/153,870,392.25 = 153,870,392.25/x
  3. Step 3: Cross multiply
    98,600,852.25x = 153,870,392.25 × 153,870,392.25
  4. Step 4: Simplify right side
    98,600,852.25x = 23,676,097,611,168,860
  5. Step 5: Solve for x
    x = 23,676,097,611,168,860/98,600,852.25
  6. Step 6: Final answer
    x = 240,120,618.34

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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.