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Finding the Third Proportional to 211,049,004 and 458,428,896

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Solution

The third proportional to 211,049,004 and 458,428,896 is: 995,773,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,049,004 : 458,428,896 = 458,428,896 : x
  2. Step 2: Convert to fraction form
    211,049,004/458,428,896 = 458,428,896/x
  3. Step 3: Cross multiply
    211,049,004x = 458,428,896 × 458,428,896
  4. Step 4: Simplify right side
    211,049,004x = 210,157,052,687,778,816
  5. Step 5: Solve for x
    x = 210,157,052,687,778,816/211,049,004
  6. Step 6: Final answer
    x = 995,773,724.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.