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Finding the Third Proportional to 84,830,071,366.50 and 184,553,771,250

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Solution

The third proportional to 84,830,071,366.50 and 184,553,771,250 is: 401,509,676,155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,830,071,366.50 : 184,553,771,250 = 184,553,771,250 : x
  2. Step 2: Convert to fraction form
    84,830,071,366.50/184,553,771,250 = 184,553,771,250/x
  3. Step 3: Cross multiply
    84,830,071,366.50x = 184,553,771,250 × 184,553,771,250
  4. Step 4: Simplify right side
    84,830,071,366.50x = 34,060,094,482,597,325,832,192
  5. Step 5: Solve for x
    x = 34,060,094,482,597,325,832,192/84,830,071,366.50
  6. Step 6: Final answer
    x = 401,509,676,155.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.