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Finding the Third Proportional to 65,878,416 and 143,097,426

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Solution

The third proportional to 65,878,416 and 143,097,426 is: 310,828,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,878,416 : 143,097,426 = 143,097,426 : x
  2. Step 2: Convert to fraction form
    65,878,416/143,097,426 = 143,097,426/x
  3. Step 3: Cross multiply
    65,878,416x = 143,097,426 × 143,097,426
  4. Step 4: Simplify right side
    65,878,416x = 20,476,873,327,825,476
  5. Step 5: Solve for x
    x = 20,476,873,327,825,476/65,878,416
  6. Step 6: Final answer
    x = 310,828,258.65

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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.