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Finding the Third Proportional to 213,613,776 and 438,551,776

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Solution

The third proportional to 213,613,776 and 438,551,776 is: 900,352,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,613,776 : 438,551,776 = 438,551,776 : x
  2. Step 2: Convert to fraction form
    213,613,776/438,551,776 = 438,551,776/x
  3. Step 3: Cross multiply
    213,613,776x = 438,551,776 × 438,551,776
  4. Step 4: Simplify right side
    213,613,776x = 192,327,660,232,754,176
  5. Step 5: Solve for x
    x = 192,327,660,232,754,176/213,613,776
  6. Step 6: Final answer
    x = 900,352,326.68

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.