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Finding the Third Proportional to 229,525,871.63 and 498,020,793.19

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Solution

The third proportional to 229,525,871.63 and 498,020,793.19 is: 1,080,595,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,525,871.63 : 498,020,793.19 = 498,020,793.19 : x
  2. Step 2: Convert to fraction form
    229,525,871.63/498,020,793.19 = 498,020,793.19/x
  3. Step 3: Cross multiply
    229,525,871.63x = 498,020,793.19 × 498,020,793.19
  4. Step 4: Simplify right side
    229,525,871.63x = 248,024,710,447,106,656
  5. Step 5: Solve for x
    x = 248,024,710,447,106,656/229,525,871.63
  6. Step 6: Final answer
    x = 1,080,595,876.58

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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.