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Finding the Third Proportional to 64,865,184 and 141,020,832

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Solution

The third proportional to 64,865,184 and 141,020,832 is: 306,587,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,865,184 : 141,020,832 = 141,020,832 : x
  2. Step 2: Convert to fraction form
    64,865,184/141,020,832 = 141,020,832/x
  3. Step 3: Cross multiply
    64,865,184x = 141,020,832 × 141,020,832
  4. Step 4: Simplify right side
    64,865,184x = 19,886,875,057,972,224
  5. Step 5: Solve for x
    x = 19,886,875,057,972,224/64,865,184
  6. Step 6: Final answer
    x = 306,587,815.40

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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.