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Finding the Third Proportional to 65,877,401 and 143,095,365.50

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Solution

The third proportional to 65,877,401 and 143,095,365.50 is: 310,824,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,877,401 : 143,095,365.50 = 143,095,365.50 : x
  2. Step 2: Convert to fraction form
    65,877,401/143,095,365.50 = 143,095,365.50/x
  3. Step 3: Cross multiply
    65,877,401x = 143,095,365.50 × 143,095,365.50
  4. Step 4: Simplify right side
    65,877,401x = 20,476,283,627,578,592
  5. Step 5: Solve for x
    x = 20,476,283,627,578,592/65,877,401
  6. Step 6: Final answer
    x = 310,824,096.23

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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.