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Finding the Third Proportional to 129,683,495.81 and 277,900,996.50

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Solution

The third proportional to 129,683,495.81 and 277,900,996.50 is: 595,518,831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,683,495.81 : 277,900,996.50 = 277,900,996.50 : x
  2. Step 2: Convert to fraction form
    129,683,495.81/277,900,996.50 = 277,900,996.50/x
  3. Step 3: Cross multiply
    129,683,495.81x = 277,900,996.50 × 277,900,996.50
  4. Step 4: Simplify right side
    129,683,495.81x = 77,228,963,855,693,008
  5. Step 5: Solve for x
    x = 77,228,963,855,693,008/129,683,495.81
  6. Step 6: Final answer
    x = 595,518,831.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.