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Finding the Third Proportional to 118,574,526 and 256,939,566

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Solution

The third proportional to 118,574,526 and 256,939,566 is: 556,763,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,574,526 : 256,939,566 = 256,939,566 : x
  2. Step 2: Convert to fraction form
    118,574,526/256,939,566 = 256,939,566/x
  3. Step 3: Cross multiply
    118,574,526x = 256,939,566 × 256,939,566
  4. Step 4: Simplify right side
    118,574,526x = 66,017,940,576,268,352
  5. Step 5: Solve for x
    x = 66,017,940,576,268,352/118,574,526
  6. Step 6: Final answer
    x = 556,763,267.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.