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Finding the Third Proportional to 135,990,946,906 and 291,085,389,518

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Solution

The third proportional to 135,990,946,906 and 291,085,389,518 is: 623,061,357,528.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,990,946,906 : 291,085,389,518 = 291,085,389,518 : x
  2. Step 2: Convert to fraction form
    135,990,946,906/291,085,389,518 = 291,085,389,518/x
  3. Step 3: Cross multiply
    135,990,946,906x = 291,085,389,518 × 291,085,389,518
  4. Step 4: Simplify right side
    135,990,946,906x = 84,730,703,990,845,788,389,376
  5. Step 5: Solve for x
    x = 84,730,703,990,845,788,389,376/135,990,946,906
  6. Step 6: Final answer
    x = 623,061,357,528.55

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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.