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Finding the Third Proportional to 107,632,735,732 and 230,617,811,421

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Solution

The third proportional to 107,632,735,732 and 230,617,811,421 is: 494,130,104,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,632,735,732 : 230,617,811,421 = 230,617,811,421 : x
  2. Step 2: Convert to fraction form
    107,632,735,732/230,617,811,421 = 230,617,811,421/x
  3. Step 3: Cross multiply
    107,632,735,732x = 230,617,811,421 × 230,617,811,421
  4. Step 4: Simplify right side
    107,632,735,732x = 53,184,574,944,611,919,724,544
  5. Step 5: Solve for x
    x = 53,184,574,944,611,919,724,544/107,632,735,732
  6. Step 6: Final answer
    x = 494,130,104,404.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.