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Finding the Third Proportional to 65,591,538 and 143,539,140

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Solution

The third proportional to 65,591,538 and 143,539,140 is: 314,118,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,591,538 : 143,539,140 = 143,539,140 : x
  2. Step 2: Convert to fraction form
    65,591,538/143,539,140 = 143,539,140/x
  3. Step 3: Cross multiply
    65,591,538x = 143,539,140 × 143,539,140
  4. Step 4: Simplify right side
    65,591,538x = 20,603,484,711,939,600
  5. Step 5: Solve for x
    x = 20,603,484,711,939,600/65,591,538
  6. Step 6: Final answer
    x = 314,118,030.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.