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Finding the Third Proportional to 53,071,831.13 and 113,521,564.13

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Solution

The third proportional to 53,071,831.13 and 113,521,564.13 is: 242,824,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,071,831.13 : 113,521,564.13 = 113,521,564.13 : x
  2. Step 2: Convert to fraction form
    53,071,831.13/113,521,564.13 = 113,521,564.13/x
  3. Step 3: Cross multiply
    53,071,831.13x = 113,521,564.13 × 113,521,564.13
  4. Step 4: Simplify right side
    53,071,831.13x = 12,887,145,521,386,488
  5. Step 5: Solve for x
    x = 12,887,145,521,386,488/53,071,831.13
  6. Step 6: Final answer
    x = 242,824,587.89

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