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Finding the Third Proportional to 142,184,696,259 and 305,767,700,358

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Solution

The third proportional to 142,184,696,259 and 305,767,700,358 is: 657,552,388,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,184,696,259 : 305,767,700,358 = 305,767,700,358 : x
  2. Step 2: Convert to fraction form
    142,184,696,259/305,767,700,358 = 305,767,700,358/x
  3. Step 3: Cross multiply
    142,184,696,259x = 305,767,700,358 × 305,767,700,358
  4. Step 4: Simplify right side
    142,184,696,259x = 93,493,886,582,219,681,562,624
  5. Step 5: Solve for x
    x = 93,493,886,582,219,681,562,624/142,184,696,259
  6. Step 6: Final answer
    x = 657,552,388,141.08

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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.