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Finding the Third Proportional to 109,710,408 and 235,931,856

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Solution

The third proportional to 109,710,408 and 235,931,856 is: 507,370,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,710,408 : 235,931,856 = 235,931,856 : x
  2. Step 2: Convert to fraction form
    109,710,408/235,931,856 = 235,931,856/x
  3. Step 3: Cross multiply
    109,710,408x = 235,931,856 × 235,931,856
  4. Step 4: Simplify right side
    109,710,408x = 55,663,840,675,604,736
  5. Step 5: Solve for x
    x = 55,663,840,675,604,736/109,710,408
  6. Step 6: Final answer
    x = 507,370,646.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.