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Finding the Third Proportional to 93,596,107.50 and 208,700,820

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Solution

The third proportional to 93,596,107.50 and 208,700,820 is: 465,361,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,596,107.50 : 208,700,820 = 208,700,820 : x
  2. Step 2: Convert to fraction form
    93,596,107.50/208,700,820 = 208,700,820/x
  3. Step 3: Cross multiply
    93,596,107.50x = 208,700,820 × 208,700,820
  4. Step 4: Simplify right side
    93,596,107.50x = 43,556,032,268,672,400
  5. Step 5: Solve for x
    x = 43,556,032,268,672,400/93,596,107.50
  6. Step 6: Final answer
    x = 465,361,577.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.