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Finding the Third Proportional to 142,573,369,733 and 302,144,813,422

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Solution

The third proportional to 142,573,369,733 and 302,144,813,422 is: 640,312,341,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,573,369,733 : 302,144,813,422 = 302,144,813,422 : x
  2. Step 2: Convert to fraction form
    142,573,369,733/302,144,813,422 = 302,144,813,422/x
  3. Step 3: Cross multiply
    142,573,369,733x = 302,144,813,422 × 302,144,813,422
  4. Step 4: Simplify right side
    142,573,369,733x = 91,291,488,277,815,195,860,992
  5. Step 5: Solve for x
    x = 91,291,488,277,815,195,860,992/142,573,369,733
  6. Step 6: Final answer
    x = 640,312,341,980.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.