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Finding the Third Proportional to 172,273,915.13 and 264,797,186.06

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Solution

The third proportional to 172,273,915.13 and 264,797,186.06 is: 407,011,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,273,915.13 : 264,797,186.06 = 264,797,186.06 : x
  2. Step 2: Convert to fraction form
    172,273,915.13/264,797,186.06 = 264,797,186.06/x
  3. Step 3: Cross multiply
    172,273,915.13x = 264,797,186.06 × 264,797,186.06
  4. Step 4: Simplify right side
    172,273,915.13x = 70,117,549,746,618,248
  5. Step 5: Solve for x
    x = 70,117,549,746,618,248/172,273,915.13
  6. Step 6: Final answer
    x = 407,011,994.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.