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Finding the Third Proportional to 186,462,614.07 and 292,504,815.01

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Solution

The third proportional to 186,462,614.07 and 292,504,815.01 is: 458,853,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,462,614.07 : 292,504,815.01 = 292,504,815.01 : x
  2. Step 2: Convert to fraction form
    186,462,614.07/292,504,815.01 = 292,504,815.01/x
  3. Step 3: Cross multiply
    186,462,614.07x = 292,504,815.01 × 292,504,815.01
  4. Step 4: Simplify right side
    186,462,614.07x = 85,559,066,803,314,752
  5. Step 5: Solve for x
    x = 85,559,066,803,314,752/186,462,614.07
  6. Step 6: Final answer
    x = 458,853,734.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.