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Finding the Third Proportional to 57,803,898.23 and 83,516,647.64

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Solution

The third proportional to 57,803,898.23 and 83,516,647.64 is: 120,667,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,803,898.23 : 83,516,647.64 = 83,516,647.64 : x
  2. Step 2: Convert to fraction form
    57,803,898.23/83,516,647.64 = 83,516,647.64/x
  3. Step 3: Cross multiply
    57,803,898.23x = 83,516,647.64 × 83,516,647.64
  4. Step 4: Simplify right side
    57,803,898.23x = 6,975,030,433,128,313
  5. Step 5: Solve for x
    x = 6,975,030,433,128,313/57,803,898.23
  6. Step 6: Final answer
    x = 120,667,128.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.