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Finding the Third Proportional to 200,402,584 and 310,301,030

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Solution

The third proportional to 200,402,584 and 310,301,030 is: 480,466,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,402,584 : 310,301,030 = 310,301,030 : x
  2. Step 2: Convert to fraction form
    200,402,584/310,301,030 = 310,301,030/x
  3. Step 3: Cross multiply
    200,402,584x = 310,301,030 × 310,301,030
  4. Step 4: Simplify right side
    200,402,584x = 96,286,729,219,060,896
  5. Step 5: Solve for x
    x = 96,286,729,219,060,896/200,402,584
  6. Step 6: Final answer
    x = 480,466,505.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.