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Finding the Third Proportional to 143,316,900,352 and 310,481,684,144

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Solution

The third proportional to 143,316,900,352 and 310,481,684,144 is: 672,627,414,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,316,900,352 : 310,481,684,144 = 310,481,684,144 : x
  2. Step 2: Convert to fraction form
    143,316,900,352/310,481,684,144 = 310,481,684,144/x
  3. Step 3: Cross multiply
    143,316,900,352x = 310,481,684,144 × 310,481,684,144
  4. Step 4: Simplify right side
    143,316,900,352x = 96,398,876,188,894,579,130,368
  5. Step 5: Solve for x
    x = 96,398,876,188,894,579,130,368/143,316,900,352
  6. Step 6: Final answer
    x = 672,627,414,855.68

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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.