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Finding the Third Proportional to 122,552,580 and 264,472,198.50

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Solution

The third proportional to 122,552,580 and 264,472,198.50 is: 570,739,055.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,552,580 : 264,472,198.50 = 264,472,198.50 : x
  2. Step 2: Convert to fraction form
    122,552,580/264,472,198.50 = 264,472,198.50/x
  3. Step 3: Cross multiply
    122,552,580x = 264,472,198.50 × 264,472,198.50
  4. Step 4: Simplify right side
    122,552,580x = 69,945,543,779,423,400
  5. Step 5: Solve for x
    x = 69,945,543,779,423,400/122,552,580
  6. Step 6: Final answer
    x = 570,739,055.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.