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Finding the Third Proportional to 64,931,534.31 and 142,849,217.31

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Solution

The third proportional to 64,931,534.31 and 142,849,217.31 is: 314,267,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,931,534.31 : 142,849,217.31 = 142,849,217.31 : x
  2. Step 2: Convert to fraction form
    64,931,534.31/142,849,217.31 = 142,849,217.31/x
  3. Step 3: Cross multiply
    64,931,534.31x = 142,849,217.31 × 142,849,217.31
  4. Step 4: Simplify right side
    64,931,534.31x = 20,405,898,886,793,848
  5. Step 5: Solve for x
    x = 20,405,898,886,793,848/64,931,534.31
  6. Step 6: Final answer
    x = 314,267,930.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.