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Finding the Third Proportional to 83,184,363 and 129,312,843

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Solution

The third proportional to 83,184,363 and 129,312,843 is: 201,021,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,184,363 : 129,312,843 = 129,312,843 : x
  2. Step 2: Convert to fraction form
    83,184,363/129,312,843 = 129,312,843/x
  3. Step 3: Cross multiply
    83,184,363x = 129,312,843 × 129,312,843
  4. Step 4: Simplify right side
    83,184,363x = 16,721,811,364,742,648
  5. Step 5: Solve for x
    x = 16,721,811,364,742,648/83,184,363
  6. Step 6: Final answer
    x = 201,021,090.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.