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Finding the Third Proportional to 77,713,191 and 168,538,575

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Solution

The third proportional to 77,713,191 and 168,538,575 is: 365,513,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,713,191 : 168,538,575 = 168,538,575 : x
  2. Step 2: Convert to fraction form
    77,713,191/168,538,575 = 168,538,575/x
  3. Step 3: Cross multiply
    77,713,191x = 168,538,575 × 168,538,575
  4. Step 4: Simplify right side
    77,713,191x = 28,405,251,263,030,624
  5. Step 5: Solve for x
    x = 28,405,251,263,030,624/77,713,191
  6. Step 6: Final answer
    x = 365,513,896.64

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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.