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Finding the Third Proportional to 252,834,258,173 and 365,301,841,243

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Solution

The third proportional to 252,834,258,173 and 365,301,841,243 is: 527,798,076,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,834,258,173 : 365,301,841,243 = 365,301,841,243 : x
  2. Step 2: Convert to fraction form
    252,834,258,173/365,301,841,243 = 365,301,841,243/x
  3. Step 3: Cross multiply
    252,834,258,173x = 365,301,841,243 × 365,301,841,243
  4. Step 4: Simplify right side
    252,834,258,173x = 133,445,435,215,525,967,822,848
  5. Step 5: Solve for x
    x = 133,445,435,215,525,967,822,848/252,834,258,173
  6. Step 6: Final answer
    x = 527,798,076,810.53

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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.