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Finding the Third Proportional to 229,525,858.13 and 498,020,770.13

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Solution

The third proportional to 229,525,858.13 and 498,020,770.13 is: 1,080,595,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,525,858.13 : 498,020,770.13 = 498,020,770.13 : x
  2. Step 2: Convert to fraction form
    229,525,858.13/498,020,770.13 = 498,020,770.13/x
  3. Step 3: Cross multiply
    229,525,858.13x = 498,020,770.13 × 498,020,770.13
  4. Step 4: Simplify right side
    229,525,858.13x = 248,024,687,475,898,080
  5. Step 5: Solve for x
    x = 248,024,687,475,898,080/229,525,858.13
  6. Step 6: Final answer
    x = 1,080,595,840.06

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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.