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Finding the Third Proportional to 256,671,916 and 554,259,292

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Solution

The third proportional to 256,671,916 and 554,259,292 is: 1,196,871,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,671,916 : 554,259,292 = 554,259,292 : x
  2. Step 2: Convert to fraction form
    256,671,916/554,259,292 = 554,259,292/x
  3. Step 3: Cross multiply
    256,671,916x = 554,259,292 × 554,259,292
  4. Step 4: Simplify right side
    256,671,916x = 307,203,362,768,341,248
  5. Step 5: Solve for x
    x = 307,203,362,768,341,248/256,671,916
  6. Step 6: Final answer
    x = 1,196,871,740.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.