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Finding the Third Proportional to 42,473,897,196 and 92,017,328,490

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Solution

The third proportional to 42,473,897,196 and 92,017,328,490 is: 199,350,408,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,473,897,196 : 92,017,328,490 = 92,017,328,490 : x
  2. Step 2: Convert to fraction form
    42,473,897,196/92,017,328,490 = 92,017,328,490/x
  3. Step 3: Cross multiply
    42,473,897,196x = 92,017,328,490 × 92,017,328,490
  4. Step 4: Simplify right side
    42,473,897,196x = 8,467,188,742,436,565,286,912
  5. Step 5: Solve for x
    x = 8,467,188,742,436,565,286,912/42,473,897,196
  6. Step 6: Final answer
    x = 199,350,408,166.31

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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.