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Finding the Third Proportional to 146,763,969.75 and 314,536,702.50

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Solution

The third proportional to 146,763,969.75 and 314,536,702.50 is: 674,098,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,763,969.75 : 314,536,702.50 = 314,536,702.50 : x
  2. Step 2: Convert to fraction form
    146,763,969.75/314,536,702.50 = 314,536,702.50/x
  3. Step 3: Cross multiply
    146,763,969.75x = 314,536,702.50 × 314,536,702.50
  4. Step 4: Simplify right side
    146,763,969.75x = 98,933,337,219,573,504
  5. Step 5: Solve for x
    x = 98,933,337,219,573,504/146,763,969.75
  6. Step 6: Final answer
    x = 674,098,263.95

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.