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Finding the Third Proportional to 65,877,428 and 143,095,416

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Solution

The third proportional to 65,877,428 and 143,095,416 is: 310,824,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,877,428 : 143,095,416 = 143,095,416 : x
  2. Step 2: Convert to fraction form
    65,877,428/143,095,416 = 143,095,416/x
  3. Step 3: Cross multiply
    65,877,428x = 143,095,416 × 143,095,416
  4. Step 4: Simplify right side
    65,877,428x = 20,476,298,080,213,056
  5. Step 5: Solve for x
    x = 20,476,298,080,213,056/65,877,428
  6. Step 6: Final answer
    x = 310,824,188.22

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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.