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Finding the Third Proportional to 142,184,695,984 and 305,767,699,792

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Solution

The third proportional to 142,184,695,984 and 305,767,699,792 is: 657,552,386,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,184,695,984 : 305,767,699,792 = 305,767,699,792 : x
  2. Step 2: Convert to fraction form
    142,184,695,984/305,767,699,792 = 305,767,699,792/x
  3. Step 3: Cross multiply
    142,184,695,984x = 305,767,699,792 × 305,767,699,792
  4. Step 4: Simplify right side
    142,184,695,984x = 93,493,886,236,090,632,765,440
  5. Step 5: Solve for x
    x = 93,493,886,236,090,632,765,440/142,184,695,984
  6. Step 6: Final answer
    x = 657,552,386,978.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.