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Finding the Third Proportional to 145,295,966.25 and 223,630,866

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Solution

The third proportional to 145,295,966.25 and 223,630,866 is: 344,199,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,295,966.25 : 223,630,866 = 223,630,866 : x
  2. Step 2: Convert to fraction form
    145,295,966.25/223,630,866 = 223,630,866/x
  3. Step 3: Cross multiply
    145,295,966.25x = 223,630,866 × 223,630,866
  4. Step 4: Simplify right side
    145,295,966.25x = 50,010,764,227,909,952
  5. Step 5: Solve for x
    x = 50,010,764,227,909,952/145,295,966.25
  6. Step 6: Final answer
    x = 344,199,261.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.