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Finding the Third Proportional to 117,464,260 and 257,516,840

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Solution

The third proportional to 117,464,260 and 257,516,840 is: 564,554,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,464,260 : 257,516,840 = 257,516,840 : x
  2. Step 2: Convert to fraction form
    117,464,260/257,516,840 = 257,516,840/x
  3. Step 3: Cross multiply
    117,464,260x = 257,516,840 × 257,516,840
  4. Step 4: Simplify right side
    117,464,260x = 66,314,922,883,585,600
  5. Step 5: Solve for x
    x = 66,314,922,883,585,600/117,464,260
  6. Step 6: Final answer
    x = 564,554,042.94

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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.