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Finding the Third Proportional to 46,923,475.50 and 98,137,197

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Solution

The third proportional to 46,923,475.50 and 98,137,197 is: 205,247,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,923,475.50 : 98,137,197 = 98,137,197 : x
  2. Step 2: Convert to fraction form
    46,923,475.50/98,137,197 = 98,137,197/x
  3. Step 3: Cross multiply
    46,923,475.50x = 98,137,197 × 98,137,197
  4. Step 4: Simplify right side
    46,923,475.50x = 9,630,909,435,016,808
  5. Step 5: Solve for x
    x = 9,630,909,435,016,808/46,923,475.50
  6. Step 6: Final answer
    x = 205,247,146.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.