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Finding the Third Proportional to 145,355,810 and 223,422,276

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Solution

The third proportional to 145,355,810 and 223,422,276 is: 343,416,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,355,810 : 223,422,276 = 223,422,276 : x
  2. Step 2: Convert to fraction form
    145,355,810/223,422,276 = 223,422,276/x
  3. Step 3: Cross multiply
    145,355,810x = 223,422,276 × 223,422,276
  4. Step 4: Simplify right side
    145,355,810x = 49,917,513,413,020,176
  5. Step 5: Solve for x
    x = 49,917,513,413,020,176/145,355,810
  6. Step 6: Final answer
    x = 343,416,017.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.