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Finding the Third Proportional to 229,525,876.13 and 498,020,802.75

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Solution

The third proportional to 229,525,876.13 and 498,020,802.75 is: 1,080,595,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,525,876.13 : 498,020,802.75 = 498,020,802.75 : x
  2. Step 2: Convert to fraction form
    229,525,876.13/498,020,802.75 = 498,020,802.75/x
  3. Step 3: Cross multiply
    229,525,876.13x = 498,020,802.75 × 498,020,802.75
  4. Step 4: Simplify right side
    229,525,876.13x = 248,024,719,971,754,400
  5. Step 5: Solve for x
    x = 248,024,719,971,754,400/229,525,876.13
  6. Step 6: Final answer
    x = 1,080,595,896.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.