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Finding the Third Proportional to 143,510,314,308 and 307,490,415,225

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Solution

The third proportional to 143,510,314,308 and 307,490,415,225 is: 658,840,139,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,510,314,308 : 307,490,415,225 = 307,490,415,225 : x
  2. Step 2: Convert to fraction form
    143,510,314,308/307,490,415,225 = 307,490,415,225/x
  3. Step 3: Cross multiply
    143,510,314,308x = 307,490,415,225 × 307,490,415,225
  4. Step 4: Simplify right side
    143,510,314,308x = 94,550,355,455,242,913,447,936
  5. Step 5: Solve for x
    x = 94,550,355,455,242,913,447,936/143,510,314,308
  6. Step 6: Final answer
    x = 658,840,139,199.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.