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Finding the Third Proportional to 252,834,258,171 and 365,301,841,240.50

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Solution

The third proportional to 252,834,258,171 and 365,301,841,240.50 is: 527,798,076,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,834,258,171 : 365,301,841,240.50 = 365,301,841,240.50 : x
  2. Step 2: Convert to fraction form
    252,834,258,171/365,301,841,240.50 = 365,301,841,240.50/x
  3. Step 3: Cross multiply
    252,834,258,171x = 365,301,841,240.50 × 365,301,841,240.50
  4. Step 4: Simplify right side
    252,834,258,171x = 133,445,435,213,699,465,871,360
  5. Step 5: Solve for x
    x = 133,445,435,213,699,465,871,360/252,834,258,171
  6. Step 6: Final answer
    x = 527,798,076,807.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.