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Finding the Third Proportional to 158,118,946,392 and 240,883,277,480

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Solution

The third proportional to 158,118,946,392 and 240,883,277,480 is: 366,969,010,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,118,946,392 : 240,883,277,480 = 240,883,277,480 : x
  2. Step 2: Convert to fraction form
    158,118,946,392/240,883,277,480 = 240,883,277,480/x
  3. Step 3: Cross multiply
    158,118,946,392x = 240,883,277,480 × 240,883,277,480
  4. Step 4: Simplify right side
    158,118,946,392x = 58,024,753,369,506,673,328,128
  5. Step 5: Solve for x
    x = 58,024,753,369,506,673,328,128/158,118,946,392
  6. Step 6: Final answer
    x = 366,969,010,947.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.