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Finding the Third Proportional to 123,964,282.50 and 270,249,118.50

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Solution

The third proportional to 123,964,282.50 and 270,249,118.50 is: 589,158,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,964,282.50 : 270,249,118.50 = 270,249,118.50 : x
  2. Step 2: Convert to fraction form
    123,964,282.50/270,249,118.50 = 270,249,118.50/x
  3. Step 3: Cross multiply
    123,964,282.50x = 270,249,118.50 × 270,249,118.50
  4. Step 4: Simplify right side
    123,964,282.50x = 73,034,586,050,027,040
  5. Step 5: Solve for x
    x = 73,034,586,050,027,040/123,964,282.50
  6. Step 6: Final answer
    x = 589,158,300.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.