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Finding the Third Proportional to 143,565,827,652 and 314,149,958,496

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Solution

The third proportional to 143,565,827,652 and 314,149,958,496 is: 687,421,220,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,565,827,652 : 314,149,958,496 = 314,149,958,496 : x
  2. Step 2: Convert to fraction form
    143,565,827,652/314,149,958,496 = 314,149,958,496/x
  3. Step 3: Cross multiply
    143,565,827,652x = 314,149,958,496 × 314,149,958,496
  4. Step 4: Simplify right side
    143,565,827,652x = 98,690,196,423,038,528,913,408
  5. Step 5: Solve for x
    x = 98,690,196,423,038,528,913,408/143,565,827,652
  6. Step 6: Final answer
    x = 687,421,220,196.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.