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Finding the Third Proportional to 92,087,632,628 and 200,390,756,346

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Solution

The third proportional to 92,087,632,628 and 200,390,756,346 is: 436,067,841,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,087,632,628 : 200,390,756,346 = 200,390,756,346 : x
  2. Step 2: Convert to fraction form
    92,087,632,628/200,390,756,346 = 200,390,756,346/x
  3. Step 3: Cross multiply
    92,087,632,628x = 200,390,756,346 × 200,390,756,346
  4. Step 4: Simplify right side
    92,087,632,628x = 40,156,455,228,921,937,395,712
  5. Step 5: Solve for x
    x = 40,156,455,228,921,937,395,712/92,087,632,628
  6. Step 6: Final answer
    x = 436,067,841,934.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.