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Finding the Third Proportional to 265,226,896 and 557,938,332

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Solution

The third proportional to 265,226,896 and 557,938,332 is: 1,173,693,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,226,896 : 557,938,332 = 557,938,332 : x
  2. Step 2: Convert to fraction form
    265,226,896/557,938,332 = 557,938,332/x
  3. Step 3: Cross multiply
    265,226,896x = 557,938,332 × 557,938,332
  4. Step 4: Simplify right side
    265,226,896x = 311,295,182,314,942,208
  5. Step 5: Solve for x
    x = 311,295,182,314,942,208/265,226,896
  6. Step 6: Final answer
    x = 1,173,693,871.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.