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Finding the Third Proportional to 78,113,832 and 170,114,385

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Solution

The third proportional to 78,113,832 and 170,114,385 is: 370,470,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,113,832 : 170,114,385 = 170,114,385 : x
  2. Step 2: Convert to fraction form
    78,113,832/170,114,385 = 170,114,385/x
  3. Step 3: Cross multiply
    78,113,832x = 170,114,385 × 170,114,385
  4. Step 4: Simplify right side
    78,113,832x = 28,938,903,983,928,224
  5. Step 5: Solve for x
    x = 28,938,903,983,928,224/78,113,832
  6. Step 6: Final answer
    x = 370,470,929.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.