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Finding the Third Proportional to 66,477,657 and 102,117,820.50

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Solution

The third proportional to 66,477,657 and 102,117,820.50 is: 156,865,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,477,657 : 102,117,820.50 = 102,117,820.50 : x
  2. Step 2: Convert to fraction form
    66,477,657/102,117,820.50 = 102,117,820.50/x
  3. Step 3: Cross multiply
    66,477,657x = 102,117,820.50 × 102,117,820.50
  4. Step 4: Simplify right side
    66,477,657x = 10,428,049,263,670,220
  5. Step 5: Solve for x
    x = 10,428,049,263,670,220/66,477,657
  6. Step 6: Final answer
    x = 156,865,475.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.