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Finding the Third Proportional to 140,201,009 and 306,787,080.50

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Solution

The third proportional to 140,201,009 and 306,787,080.50 is: 671,309,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,201,009 : 306,787,080.50 = 306,787,080.50 : x
  2. Step 2: Convert to fraction form
    140,201,009/306,787,080.50 = 306,787,080.50/x
  3. Step 3: Cross multiply
    140,201,009x = 306,787,080.50 × 306,787,080.50
  4. Step 4: Simplify right side
    140,201,009x = 94,118,312,761,713,488
  5. Step 5: Solve for x
    x = 94,118,312,761,713,488/140,201,009
  6. Step 6: Final answer
    x = 671,309,810.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.