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Finding the Third Proportional to 176,621,730,868 and 385,210,136,239

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Solution

The third proportional to 176,621,730,868 and 385,210,136,239 is: 840,139,253,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,621,730,868 : 385,210,136,239 = 385,210,136,239 : x
  2. Step 2: Convert to fraction form
    176,621,730,868/385,210,136,239 = 385,210,136,239/x
  3. Step 3: Cross multiply
    176,621,730,868x = 385,210,136,239 × 385,210,136,239
  4. Step 4: Simplify right side
    176,621,730,868x = 148,386,849,061,268,940,128,256
  5. Step 5: Solve for x
    x = 148,386,849,061,268,940,128,256/176,621,730,868
  6. Step 6: Final answer
    x = 840,139,253,148.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.