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Finding the Third Proportional to 142,337,326 and 310,774,310

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Solution

The third proportional to 142,337,326 and 310,774,310 is: 678,533,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,337,326 : 310,774,310 = 310,774,310 : x
  2. Step 2: Convert to fraction form
    142,337,326/310,774,310 = 310,774,310/x
  3. Step 3: Cross multiply
    142,337,326x = 310,774,310 × 310,774,310
  4. Step 4: Simplify right side
    142,337,326x = 96,580,671,755,976,096
  5. Step 5: Solve for x
    x = 96,580,671,755,976,096/142,337,326
  6. Step 6: Final answer
    x = 678,533,695.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.