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Finding the Third Proportional to 142,913,984 and 310,020,563

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Solution

The third proportional to 142,913,984 and 310,020,563 is: 672,521,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,913,984 : 310,020,563 = 310,020,563 : x
  2. Step 2: Convert to fraction form
    142,913,984/310,020,563 = 310,020,563/x
  3. Step 3: Cross multiply
    142,913,984x = 310,020,563 × 310,020,563
  4. Step 4: Simplify right side
    142,913,984x = 96,112,749,482,836,976
  5. Step 5: Solve for x
    x = 96,112,749,482,836,976/142,913,984
  6. Step 6: Final answer
    x = 672,521,658.08

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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.