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Finding the Third Proportional to 115,553,838 and 235,143,298.50

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Solution

The third proportional to 115,553,838 and 235,143,298.50 is: 478,498,782.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,553,838 : 235,143,298.50 = 235,143,298.50 : x
  2. Step 2: Convert to fraction form
    115,553,838/235,143,298.50 = 235,143,298.50/x
  3. Step 3: Cross multiply
    115,553,838x = 235,143,298.50 × 235,143,298.50
  4. Step 4: Simplify right side
    115,553,838x = 55,292,370,829,460,104
  5. Step 5: Solve for x
    x = 55,292,370,829,460,104/115,553,838
  6. Step 6: Final answer
    x = 478,498,782.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.