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Finding the Third Proportional to 124,483,291.50 and 200,010,724.50

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Solution

The third proportional to 124,483,291.50 and 200,010,724.50 is: 321,362,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,483,291.50 : 200,010,724.50 = 200,010,724.50 : x
  2. Step 2: Convert to fraction form
    124,483,291.50/200,010,724.50 = 200,010,724.50/x
  3. Step 3: Cross multiply
    124,483,291.50x = 200,010,724.50 × 200,010,724.50
  4. Step 4: Simplify right side
    124,483,291.50x = 40,004,289,915,014,904
  5. Step 5: Solve for x
    x = 40,004,289,915,014,904/124,483,291.50
  6. Step 6: Final answer
    x = 321,362,726.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.