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Finding the Third Proportional to 46,923,528 and 98,137,296

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Solution

The third proportional to 46,923,528 and 98,137,296 is: 205,247,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,923,528 : 98,137,296 = 98,137,296 : x
  2. Step 2: Convert to fraction form
    46,923,528/98,137,296 = 98,137,296/x
  3. Step 3: Cross multiply
    46,923,528x = 98,137,296 × 98,137,296
  4. Step 4: Simplify right side
    46,923,528x = 9,630,928,866,191,616
  5. Step 5: Solve for x
    x = 9,630,928,866,191,616/46,923,528
  6. Step 6: Final answer
    x = 205,247,330.64

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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.