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Finding the Third Proportional to 199,532,184,708 and 413,207,908,776

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Solution

The third proportional to 199,532,184,708 and 413,207,908,776 is: 855,705,439,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,532,184,708 : 413,207,908,776 = 413,207,908,776 : x
  2. Step 2: Convert to fraction form
    199,532,184,708/413,207,908,776 = 413,207,908,776/x
  3. Step 3: Cross multiply
    199,532,184,708x = 413,207,908,776 × 413,207,908,776
  4. Step 4: Simplify right side
    199,532,184,708x = 170,740,775,875,035,124,465,664
  5. Step 5: Solve for x
    x = 170,740,775,875,035,124,465,664/199,532,184,708
  6. Step 6: Final answer
    x = 855,705,439,826.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.