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Finding the Third Proportional to 201,583,767,436 and 431,920,705,120

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Solution

The third proportional to 201,583,767,436 and 431,920,705,120 is: 925,448,997,626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,583,767,436 : 431,920,705,120 = 431,920,705,120 : x
  2. Step 2: Convert to fraction form
    201,583,767,436/431,920,705,120 = 431,920,705,120/x
  3. Step 3: Cross multiply
    201,583,767,436x = 431,920,705,120 × 431,920,705,120
  4. Step 4: Simplify right side
    201,583,767,436x = 186,555,495,511,358,003,216,384
  5. Step 5: Solve for x
    x = 186,555,495,511,358,003,216,384/201,583,767,436
  6. Step 6: Final answer
    x = 925,448,997,626.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.