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Finding the Third Proportional to 277,164,838.13 and 429,017,158.13

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Solution

The third proportional to 277,164,838.13 and 429,017,158.13 is: 664,065,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,164,838.13 : 429,017,158.13 = 429,017,158.13 : x
  2. Step 2: Convert to fraction form
    277,164,838.13/429,017,158.13 = 429,017,158.13/x
  3. Step 3: Cross multiply
    277,164,838.13x = 429,017,158.13 × 429,017,158.13
  4. Step 4: Simplify right side
    277,164,838.13x = 184,055,721,965,651,264
  5. Step 5: Solve for x
    x = 184,055,721,965,651,264/277,164,838.13
  6. Step 6: Final answer
    x = 664,065,915.47

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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.