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Finding the Third Proportional to 210,301,507.41 and 460,180,607.06

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Solution

The third proportional to 210,301,507.41 and 460,180,607.06 is: 1,006,964,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,301,507.41 : 460,180,607.06 = 460,180,607.06 : x
  2. Step 2: Convert to fraction form
    210,301,507.41/460,180,607.06 = 460,180,607.06/x
  3. Step 3: Cross multiply
    210,301,507.41x = 460,180,607.06 × 460,180,607.06
  4. Step 4: Simplify right side
    210,301,507.41x = 211,766,191,116,411,040
  5. Step 5: Solve for x
    x = 211,766,191,116,411,040/210,301,507.41
  6. Step 6: Final answer
    x = 1,006,964,684.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.