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Finding the Third Proportional to 295,186,303.50 and 683,374,953.50

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Solution

The third proportional to 295,186,303.50 and 683,374,953.50 is: 1,582,056,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,186,303.50 : 683,374,953.50 = 683,374,953.50 : x
  2. Step 2: Convert to fraction form
    295,186,303.50/683,374,953.50 = 683,374,953.50/x
  3. Step 3: Cross multiply
    295,186,303.50x = 683,374,953.50 × 683,374,953.50
  4. Step 4: Simplify right side
    295,186,303.50x = 467,001,327,071,127,168
  5. Step 5: Solve for x
    x = 467,001,327,071,127,168/295,186,303.50
  6. Step 6: Final answer
    x = 1,582,056,218.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.