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Finding the Third Proportional to 142,337,322 and 310,774,302

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Solution

The third proportional to 142,337,322 and 310,774,302 is: 678,533,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,337,322 : 310,774,302 = 310,774,302 : x
  2. Step 2: Convert to fraction form
    142,337,322/310,774,302 = 310,774,302/x
  3. Step 3: Cross multiply
    142,337,322x = 310,774,302 × 310,774,302
  4. Step 4: Simplify right side
    142,337,322x = 96,580,666,783,587,200
  5. Step 5: Solve for x
    x = 96,580,666,783,587,200/142,337,322
  6. Step 6: Final answer
    x = 678,533,679.20

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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.