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Finding the Third Proportional to 107,477,696,160 and 233,224,435,584

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Solution

The third proportional to 107,477,696,160 and 233,224,435,584 is: 506,092,327,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,477,696,160 : 233,224,435,584 = 233,224,435,584 : x
  2. Step 2: Convert to fraction form
    107,477,696,160/233,224,435,584 = 233,224,435,584/x
  3. Step 3: Cross multiply
    107,477,696,160x = 233,224,435,584 × 233,224,435,584
  4. Step 4: Simplify right side
    107,477,696,160x = 54,393,637,353,475,369,074,688
  5. Step 5: Solve for x
    x = 54,393,637,353,475,369,074,688/107,477,696,160
  6. Step 6: Final answer
    x = 506,092,327,030.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.