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Finding the Third Proportional to 145,020,210 and 230,011,056

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Solution

The third proportional to 145,020,210 and 230,011,056 is: 364,811,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,020,210 : 230,011,056 = 230,011,056 : x
  2. Step 2: Convert to fraction form
    145,020,210/230,011,056 = 230,011,056/x
  3. Step 3: Cross multiply
    145,020,210x = 230,011,056 × 230,011,056
  4. Step 4: Simplify right side
    145,020,210x = 52,905,085,882,235,136
  5. Step 5: Solve for x
    x = 52,905,085,882,235,136/145,020,210
  6. Step 6: Final answer
    x = 364,811,814.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.