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Finding the Third Proportional to 117,378,594 and 257,432,004

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Solution

The third proportional to 117,378,594 and 257,432,004 is: 564,593,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,378,594 : 257,432,004 = 257,432,004 : x
  2. Step 2: Convert to fraction form
    117,378,594/257,432,004 = 257,432,004/x
  3. Step 3: Cross multiply
    117,378,594x = 257,432,004 × 257,432,004
  4. Step 4: Simplify right side
    117,378,594x = 66,271,236,683,456,016
  5. Step 5: Solve for x
    x = 66,271,236,683,456,016/117,378,594
  6. Step 6: Final answer
    x = 564,593,887.40

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